What is the Greatest Common Factor of 15164 and 15172?

Greatest common factor (GCF) of 15164 and 15172 is 4.

GCF(15164,15172) = 4

We will now calculate the prime factors of 15164 and 15172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15164 and 15172.

How to find the GCF of 15164 and 15172?

We will first find the prime factorization of 15164 and 15172. After we will calculate the factors of 15164 and 15172 and find the biggest common factor number .

Step-1: Prime Factorization of 15164

Prime factors of 15164 are 2, 17, 223. Prime factorization of 15164 in exponential form is:

15164 = 2² × 17¹ × 223¹

Step-2: Prime Factorization of 15172

Prime factors of 15172 are 2, 3793. Prime factorization of 15172 in exponential form is:

15172 = 2² × 3793¹

Step-3: Factors of 15164

List of positive integer factors of 15164 that divides 15164 without a remainder.

1, 2, 4, 17, 34, 68, 223, 446, 892, 3791, 7582

Step-4: Factors of 15172

List of positive integer factors of 15172 that divides 15164 without a remainder.

1, 2, 4, 3793, 7586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15164 and 15172. The biggest common factor number is the GCF number.
So the greatest common factor 15164 and 15172 is 4.

Also check out the Least Common Multiple of 15164 and 15172