What is the Greatest Common Factor of 26964 and 26979?

Greatest common factor (GCF) of 26964 and 26979 is 3.

GCF(26964,26979) = 3

We will now calculate the prime factors of 26964 and 26979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26964 and 26979.

How to find the GCF of 26964 and 26979?

We will first find the prime factorization of 26964 and 26979. After we will calculate the factors of 26964 and 26979 and find the biggest common factor number .

Step-1: Prime Factorization of 26964

Prime factors of 26964 are 2, 3, 7, 107. Prime factorization of 26964 in exponential form is:

26964 = 2² × 3² × 7¹ × 107¹

Step-2: Prime Factorization of 26979

Prime factors of 26979 are 3, 17, 23. Prime factorization of 26979 in exponential form is:

26979 = 3¹ × 17¹ × 23²

Step-3: Factors of 26964

List of positive integer factors of 26964 that divides 26964 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 107, 126, 214, 252, 321, 428, 642, 749, 963, 1284, 1498, 1926, 2247, 2996, 3852, 4494, 6741, 8988, 13482

Step-4: Factors of 26979

List of positive integer factors of 26979 that divides 26964 without a remainder.

1, 3, 17, 23, 51, 69, 391, 529, 1173, 1587, 8993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26964 and 26979. The biggest common factor number is the GCF number.
So the greatest common factor 26964 and 26979 is 3.

Also check out the Least Common Multiple of 26964 and 26979