What is the Greatest Common Factor of 15134 and 15148?

Greatest common factor (GCF) of 15134 and 15148 is 14.

GCF(15134,15148) = 14

We will now calculate the prime factors of 15134 and 15148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15134 and 15148.

How to find the GCF of 15134 and 15148?

We will first find the prime factorization of 15134 and 15148. After we will calculate the factors of 15134 and 15148 and find the biggest common factor number .

Step-1: Prime Factorization of 15134

Prime factors of 15134 are 2, 7, 23, 47. Prime factorization of 15134 in exponential form is:

15134 = 2¹ × 7¹ × 23¹ × 47¹

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 15134

List of positive integer factors of 15134 that divides 15134 without a remainder.

1, 2, 7, 14, 23, 46, 47, 94, 161, 322, 329, 658, 1081, 2162, 7567

Step-4: Factors of 15148

List of positive integer factors of 15148 that divides 15134 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 15134 and 15148. The biggest common factor number is the GCF number.
So the greatest common factor 15134 and 15148 is 14.

Also check out the Least Common Multiple of 15134 and 15148