What is the Greatest Common Factor of 15134 and 15152?

Greatest common factor (GCF) of 15134 and 15152 is 2.

GCF(15134,15152) = 2

We will now calculate the prime factors of 15134 and 15152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15134 and 15152.

How to find the GCF of 15134 and 15152?

We will first find the prime factorization of 15134 and 15152. After we will calculate the factors of 15134 and 15152 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 15152

Prime factors of 15152 are 2, 947. Prime factorization of 15152 in exponential form is:

15152 = 2⁴ × 947¹

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 15152

List of positive integer factors of 15152 that divides 15134 without a remainder.

1, 2, 4, 8, 16, 947, 1894, 3788, 7576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15134 and 15152. The biggest common factor number is the GCF number.
So the greatest common factor 15134 and 15152 is 2.

Also check out the Least Common Multiple of 15134 and 15152