What is the Greatest Common Factor of 26164 and 26168?

Greatest common factor (GCF) of 26164 and 26168 is 4.

GCF(26164,26168) = 4

We will now calculate the prime factors of 26164 and 26168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26164 and 26168.

How to find the GCF of 26164 and 26168?

We will first find the prime factorization of 26164 and 26168. After we will calculate the factors of 26164 and 26168 and find the biggest common factor number .

Step-1: Prime Factorization of 26164

Prime factors of 26164 are 2, 31, 211. Prime factorization of 26164 in exponential form is:

26164 = 2² × 31¹ × 211¹

Step-2: Prime Factorization of 26168

Prime factors of 26168 are 2, 3271. Prime factorization of 26168 in exponential form is:

26168 = 2³ × 3271¹

Step-3: Factors of 26164

List of positive integer factors of 26164 that divides 26164 without a remainder.

1, 2, 4, 31, 62, 124, 211, 422, 844, 6541, 13082

Step-4: Factors of 26168

List of positive integer factors of 26168 that divides 26164 without a remainder.

1, 2, 4, 8, 3271, 6542, 13084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26164 and 26168. The biggest common factor number is the GCF number.
So the greatest common factor 26164 and 26168 is 4.

Also check out the Least Common Multiple of 26164 and 26168