What is the Greatest Common Factor of 26172 and 26178?

Greatest common factor (GCF) of 26172 and 26178 is 6.

GCF(26172,26178) = 6

We will now calculate the prime factors of 26172 and 26178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26172 and 26178.

How to find the GCF of 26172 and 26178?

We will first find the prime factorization of 26172 and 26178. After we will calculate the factors of 26172 and 26178 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26178

Prime factors of 26178 are 2, 3, 4363. Prime factorization of 26178 in exponential form is:

26178 = 2¹ × 3¹ × 4363¹

Step-3: Factors of 26172

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

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

Step-4: Factors of 26178

List of positive integer factors of 26178 that divides 26172 without a remainder.

1, 2, 3, 6, 4363, 8726, 13089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26172 and 26178. The biggest common factor number is the GCF number.
So the greatest common factor 26172 and 26178 is 6.

Also check out the Least Common Multiple of 26172 and 26178