What is the Greatest Common Factor of 26564 and 26572?

Greatest common factor (GCF) of 26564 and 26572 is 4.

GCF(26564,26572) = 4

We will now calculate the prime factors of 26564 and 26572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26564 and 26572.

How to find the GCF of 26564 and 26572?

We will first find the prime factorization of 26564 and 26572. After we will calculate the factors of 26564 and 26572 and find the biggest common factor number .

Step-1: Prime Factorization of 26564

Prime factors of 26564 are 2, 29, 229. Prime factorization of 26564 in exponential form is:

26564 = 2² × 29¹ × 229¹

Step-2: Prime Factorization of 26572

Prime factors of 26572 are 2, 7, 13, 73. Prime factorization of 26572 in exponential form is:

26572 = 2² × 7¹ × 13¹ × 73¹

Step-3: Factors of 26564

List of positive integer factors of 26564 that divides 26564 without a remainder.

1, 2, 4, 29, 58, 116, 229, 458, 916, 6641, 13282

Step-4: Factors of 26572

List of positive integer factors of 26572 that divides 26564 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 73, 91, 146, 182, 292, 364, 511, 949, 1022, 1898, 2044, 3796, 6643, 13286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26564 and 26572. The biggest common factor number is the GCF number.
So the greatest common factor 26564 and 26572 is 4.

Also check out the Least Common Multiple of 26564 and 26572