What is the Greatest Common Factor of 26964 and 26976?

Greatest common factor (GCF) of 26964 and 26976 is 12.

GCF(26964,26976) = 12

We will now calculate the prime factors of 26964 and 26976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26964 and 26976.

How to find the GCF of 26964 and 26976?

We will first find the prime factorization of 26964 and 26976. After we will calculate the factors of 26964 and 26976 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 26976

Prime factors of 26976 are 2, 3, 281. Prime factorization of 26976 in exponential form is:

26976 = 2⁵ × 3¹ × 281¹

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 26976

List of positive integer factors of 26976 that divides 26964 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 281, 562, 843, 1124, 1686, 2248, 3372, 4496, 6744, 8992, 13488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26964 and 26976. The biggest common factor number is the GCF number.
So the greatest common factor 26964 and 26976 is 12.

Also check out the Least Common Multiple of 26964 and 26976