What is the Greatest Common Factor of 26954 and 26964?

Greatest common factor (GCF) of 26954 and 26964 is 2.

GCF(26954,26964) = 2

We will now calculate the prime factors of 26954 and 26964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26954 and 26964.

How to find the GCF of 26954 and 26964?

We will first find the prime factorization of 26954 and 26964. After we will calculate the factors of 26954 and 26964 and find the biggest common factor number .

Step-1: Prime Factorization of 26954

Prime factors of 26954 are 2, 13477. Prime factorization of 26954 in exponential form is:

26954 = 2¹ × 13477¹

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 26954

List of positive integer factors of 26954 that divides 26954 without a remainder.

1, 2, 13477

Step-4: Factors of 26964

List of positive integer factors of 26964 that divides 26954 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 26954 and 26964. The biggest common factor number is the GCF number.
So the greatest common factor 26954 and 26964 is 2.

Also check out the Least Common Multiple of 26954 and 26964