What is the Greatest Common Factor of 15132 and 15148?

Greatest common factor (GCF) of 15132 and 15148 is 4.

GCF(15132,15148) = 4

We will now calculate the prime factors of 15132 and 15148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15132 and 15148.

How to find the GCF of 15132 and 15148?

We will first find the prime factorization of 15132 and 15148. After we will calculate the factors of 15132 and 15148 and find the biggest common factor number .

Step-1: Prime Factorization of 15132

Prime factors of 15132 are 2, 3, 13, 97. Prime factorization of 15132 in exponential form is:

15132 = 2² × 3¹ × 13¹ × 97¹

Step-2: Prime Factorization of 15148

Prime factors of 15148 are 2, 7, 541. Prime factorization of 15148 in exponential form is:

15148 = 2² × 7¹ × 541¹

Step-3: Factors of 15132

List of positive integer factors of 15132 that divides 15132 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 97, 156, 194, 291, 388, 582, 1164, 1261, 2522, 3783, 5044, 7566

Step-4: Factors of 15148

List of positive integer factors of 15148 that divides 15132 without a remainder.

1, 2, 4, 7, 14, 28, 541, 1082, 2164, 3787, 7574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15132 and 15148. The biggest common factor number is the GCF number.
So the greatest common factor 15132 and 15148 is 4.

Also check out the Least Common Multiple of 15132 and 15148