What is the Greatest Common Factor of 26178 and 26196?

Greatest common factor (GCF) of 26178 and 26196 is 6.

GCF(26178,26196) = 6

We will now calculate the prime factors of 26178 and 26196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26178 and 26196.

How to find the GCF of 26178 and 26196?

We will first find the prime factorization of 26178 and 26196. After we will calculate the factors of 26178 and 26196 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26196

Prime factors of 26196 are 2, 3, 37, 59. Prime factorization of 26196 in exponential form is:

26196 = 2² × 3¹ × 37¹ × 59¹

Step-3: Factors of 26178

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

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

Step-4: Factors of 26196

List of positive integer factors of 26196 that divides 26178 without a remainder.

1, 2, 3, 4, 6, 12, 37, 59, 74, 111, 118, 148, 177, 222, 236, 354, 444, 708, 2183, 4366, 6549, 8732, 13098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26178 and 26196. The biggest common factor number is the GCF number.
So the greatest common factor 26178 and 26196 is 6.

Also check out the Least Common Multiple of 26178 and 26196