What is the Greatest Common Factor of 15164 and 15178?

Greatest common factor (GCF) of 15164 and 15178 is 2.

GCF(15164,15178) = 2

We will now calculate the prime factors of 15164 and 15178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15164 and 15178.

How to find the GCF of 15164 and 15178?

We will first find the prime factorization of 15164 and 15178. After we will calculate the factors of 15164 and 15178 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 15178

Prime factors of 15178 are 2, 7589. Prime factorization of 15178 in exponential form is:

15178 = 2¹ × 7589¹

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 15178

List of positive integer factors of 15178 that divides 15164 without a remainder.

1, 2, 7589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15164 and 15178. The biggest common factor number is the GCF number.
So the greatest common factor 15164 and 15178 is 2.

Also check out the Least Common Multiple of 15164 and 15178