GCF of 102 and 153

What is the GCF of 102 and 153?


GCF of 102 and 153

is 51

Formula How to

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What is the Greatest Common Factor of 102 and 153? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 102 and 153 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 102.
    2, 3, 17
  2. Find the prime factors of the second number 153.
    3, 3, 17
  3. Multiply of all the common prime factors is the GCF value. Which is,
    51

Factors Method:

  1. Find the factors of the first number 102.
    1, 2, 3, 6, 17, 34, 51, 102
  2. Find the factors of the second number 153.
    1, 3, 9, 17, 51, 153
  3. The biggest common factor number is the GCF value. Which is,
    51

GCF (Greatest Common Factor) of 102 and 153 is 51.

GCD (Greatest Common Divisor) of 102 and 153 is 51.

HCF (Highest Common Factor) of 102 and 153 is 51.

Number GCF LCM
102 & 148 2 7548
102 & 149 1 15198
102 & 150 6 2550
102 & 151 1 15402
102 & 152 2 7752
102 & 153 51 306
102 & 154 2 7854
102 & 155 1 15810
102 & 156 6 2652
102 & 157 1 16014
102 & 158 2 8058