GCF of 216 and 102

What is the GCF of 216 and 102?


GCF of 216 and 102

is 6

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What is the Greatest Common Factor of 216 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 216 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 216.
    2, 2, 2, 3, 3, 3
  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 216.
    1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
  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 216 and 102 is 6.

GCD (Greatest Common Divisor) of 216 and 102 is 6.

HCF (Highest Common Factor) of 216 and 102 is 6.

Number GCF LCM
216 & 97 1 20952
216 & 98 2 10584
216 & 99 9 2376
216 & 100 4 5400
216 & 101 1 21816
216 & 102 6 3672
216 & 103 1 22248
216 & 104 8 2808
216 & 105 3 7560
216 & 106 2 11448
216 & 107 1 23112