What is the Greatest Common Factor of 26624 and 26637?

Greatest common factor (GCF) of 26624 and 26637 is 13.

GCF(26624,26637) = 13

We will now calculate the prime factors of 26624 and 26637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26624 and 26637.

How to find the GCF of 26624 and 26637?

We will first find the prime factorization of 26624 and 26637. After we will calculate the factors of 26624 and 26637 and find the biggest common factor number .

Step-1: Prime Factorization of 26624

Prime factors of 26624 are 2, 13. Prime factorization of 26624 in exponential form is:

26624 = 2¹¹ × 13¹

Step-2: Prime Factorization of 26637

Prime factors of 26637 are 3, 13, 683. Prime factorization of 26637 in exponential form is:

26637 = 3¹ × 13¹ × 683¹

Step-3: Factors of 26624

List of positive integer factors of 26624 that divides 26624 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312

Step-4: Factors of 26637

List of positive integer factors of 26637 that divides 26624 without a remainder.

1, 3, 13, 39, 683, 2049, 8879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26624 and 26637. The biggest common factor number is the GCF number.
So the greatest common factor 26624 and 26637 is 13.

Also check out the Least Common Multiple of 26624 and 26637