What is the Greatest Common Factor of 26156 and 26172?

Greatest common factor (GCF) of 26156 and 26172 is 4.

GCF(26156,26172) = 4

We will now calculate the prime factors of 26156 and 26172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26156 and 26172.

How to find the GCF of 26156 and 26172?

We will first find the prime factorization of 26156 and 26172. After we will calculate the factors of 26156 and 26172 and find the biggest common factor number .

Step-1: Prime Factorization of 26156

Prime factors of 26156 are 2, 13, 503. Prime factorization of 26156 in exponential form is:

26156 = 2² × 13¹ × 503¹

Step-2: Prime Factorization of 26172

Prime factors of 26172 are 2, 3, 727. Prime factorization of 26172 in exponential form is:

26172 = 2² × 3² × 727¹

Step-3: Factors of 26156

List of positive integer factors of 26156 that divides 26156 without a remainder.

1, 2, 4, 13, 26, 52, 503, 1006, 2012, 6539, 13078

Step-4: Factors of 26172

List of positive integer factors of 26172 that divides 26156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 727, 1454, 2181, 2908, 4362, 6543, 8724, 13086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26156 and 26172. The biggest common factor number is the GCF number.
So the greatest common factor 26156 and 26172 is 4.

Also check out the Least Common Multiple of 26156 and 26172