What is the Greatest Common Factor of 26946 and 26964?

Greatest common factor (GCF) of 26946 and 26964 is 18.

GCF(26946,26964) = 18

We will now calculate the prime factors of 26946 and 26964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26946 and 26964.

How to find the GCF of 26946 and 26964?

We will first find the prime factorization of 26946 and 26964. After we will calculate the factors of 26946 and 26964 and find the biggest common factor number .

Step-1: Prime Factorization of 26946

Prime factors of 26946 are 2, 3, 499. Prime factorization of 26946 in exponential form is:

26946 = 2¹ × 3³ × 499¹

Step-2: 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-3: Factors of 26946

List of positive integer factors of 26946 that divides 26946 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 499, 998, 1497, 2994, 4491, 8982, 13473

Step-4: Factors of 26964

List of positive integer factors of 26964 that divides 26946 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26946 and 26964. The biggest common factor number is the GCF number.
So the greatest common factor 26946 and 26964 is 18.

Also check out the Least Common Multiple of 26946 and 26964