What is the Greatest Common Factor of 15152 and 15158?

Greatest common factor (GCF) of 15152 and 15158 is 2.

GCF(15152,15158) = 2

We will now calculate the prime factors of 15152 and 15158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15152 and 15158.

How to find the GCF of 15152 and 15158?

We will first find the prime factorization of 15152 and 15158. After we will calculate the factors of 15152 and 15158 and find the biggest common factor number .

Step-1: Prime Factorization of 15152

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

15152 = 2⁴ × 947¹

Step-2: Prime Factorization of 15158

Prime factors of 15158 are 2, 11, 13, 53. Prime factorization of 15158 in exponential form is:

15158 = 2¹ × 11¹ × 13¹ × 53¹

Step-3: Factors of 15152

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

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

Step-4: Factors of 15158

List of positive integer factors of 15158 that divides 15152 without a remainder.

1, 2, 11, 13, 22, 26, 53, 106, 143, 286, 583, 689, 1166, 1378, 7579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15152 and 15158. The biggest common factor number is the GCF number.
So the greatest common factor 15152 and 15158 is 2.

Also check out the Least Common Multiple of 15152 and 15158