GCF of 102 and 91

What is the GCF of 102 and 91?


GCF of 102 and 91

is 1

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What is the Greatest Common Factor of 102 and 91? 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 91 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 91.
    7, 13
  3. If, There are no common prime factors then the GCF value will be
    1

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 91.
    1, 7, 13, 91
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 102 and 91 is 1.

GCD (Greatest Common Divisor) of 102 and 91 is 1.

HCF (Highest Common Factor) of 102 and 91 is 1.

Number GCF LCM
102 & 86 2 4386
102 & 87 3 2958
102 & 88 2 4488
102 & 89 1 9078
102 & 90 6 1530
102 & 91 1 9282
102 & 92 2 4692
102 & 93 3 3162
102 & 94 2 4794
102 & 95 1 9690
102 & 96 6 1632