What is the Greatest Common Factor of 15364 and 15374?

Greatest common factor (GCF) of 15364 and 15374 is 2.

GCF(15364,15374) = 2

We will now calculate the prime factors of 15364 and 15374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15364 and 15374.

How to find the GCF of 15364 and 15374?

We will first find the prime factorization of 15364 and 15374. After we will calculate the factors of 15364 and 15374 and find the biggest common factor number .

Step-1: Prime Factorization of 15364

Prime factors of 15364 are 2, 23, 167. Prime factorization of 15364 in exponential form is:

15364 = 2² × 23¹ × 167¹

Step-2: Prime Factorization of 15374

Prime factors of 15374 are 2, 7687. Prime factorization of 15374 in exponential form is:

15374 = 2¹ × 7687¹

Step-3: Factors of 15364

List of positive integer factors of 15364 that divides 15364 without a remainder.

1, 2, 4, 23, 46, 92, 167, 334, 668, 3841, 7682

Step-4: Factors of 15374

List of positive integer factors of 15374 that divides 15364 without a remainder.

1, 2, 7687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15364 and 15374. The biggest common factor number is the GCF number.
So the greatest common factor 15364 and 15374 is 2.

Also check out the Least Common Multiple of 15364 and 15374