GCF of 312 and 102

What is the GCF of 312 and 102?


GCF of 312 and 102

is 6

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What is the Greatest Common Factor of 312 and 102? 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 312 and 102 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 312.
    2, 2, 2, 3, 13
  2. Find the prime factors of the second number 102.
    2, 3, 17
  3. Multiply of all the common prime factors is the GCF value. Which is,
    6

Factors Method:

  1. Find the factors of the first number 312.
    1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
  2. Find the factors of the second number 102.
    1, 2, 3, 6, 17, 34, 51, 102
  3. The biggest common factor number is the GCF value. Which is,
    6

GCF (Greatest Common Factor) of 312 and 102 is 6.

GCD (Greatest Common Divisor) of 312 and 102 is 6.

HCF (Highest Common Factor) of 312 and 102 is 6.

Number GCF LCM
312 & 97 1 30264
312 & 98 2 15288
312 & 99 3 10296
312 & 100 4 7800
312 & 101 1 31512
312 & 102 6 5304
312 & 103 1 32136
312 & 104 104 312
312 & 105 3 10920
312 & 106 2 16536
312 & 107 1 33384