How to Find HCF of 92 and 152

HCF of 92 and 152 Calculator

HCF vs LCM of 92 and 152

Some of the methods of finding HCF of 92 and 152 by:

By Prime Factorization Method
By Listing Common Factors
By Long Division Method

HCF of 92 and 152 by Prime Factorization Method

Follow the below-given steps to find the HCF of numbers using the prime factorization method.

Step 1: Write each number as a product of its prime factors

Step 2: Now write the common factors of the two numbers

Step 3: Product of all common prime factors is HCF

Prime factor of 92 and 152 are,

92 = 2 × 2 × 23

152 = 2 × 2 × 2 × 19

HCF (95, 152) = 2 × 2 = 4 (Since 4 is common factor of 92 and 152)

HCF of 92 and 152 By Listing Common Factors

Listing Common Factor means identifying the numbers that can evenly divide two or more numbers. By listing common factor of 92 and 152 we can start by listing the factors of each number:

Factor of 92: 1, 2, 4,23, 46, 92

Factor of 152: 1, 2, 4, 8,1 9, 38, 76, 152

HCF = 4 (Since 4 is the highest common factor)

HCF of 92 and 152 By Long Division

Below are the steps for finding HCF of 92 and 152 by Long Division method:

Step 1: Divide the larger number by the smaller one.

Step 2: Replace the larger number with the smaller one and the smaller number with the Remainder.

Step 3: Repeat step 1 and 2 until we get a remainder of 0.

Below is the representation of HCF of 92 and 152 by long division method:

HCF of 92 and 152

HCF of 92 and 152 is 4. HCF or Highest Common Factor is the greatest number that divides two or more numbers. HCF is also known as Greatest Common Measure (GCM) or Greatest Common Divisor (GCD). HCF can also be evaluated for two or more numbers.

In this article, we will learn about how to find HCF of 92 and 152, what is HCF, finding HCF by prime factorization method, listing common factors and by long division method, HCF vs LCM OF 92 and 152 along with some solved example, practice problem, and FAQs.