What is the Greatest Common Factor of 15148 and 15158?

Greatest common factor (GCF) of 15148 and 15158 is 2.

GCF(15148,15158) = 2

We will now calculate the prime factors of 15148 and 15158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15148 and 15158.

How to find the GCF of 15148 and 15158?

We will first find the prime factorization of 15148 and 15158. After we will calculate the factors of 15148 and 15158 and find the biggest common factor number .

Step-1: 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-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 15148

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

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

Step-4: Factors of 15158

List of positive integer factors of 15158 that divides 15148 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 15148 and 15158. The biggest common factor number is the GCF number.
So the greatest common factor 15148 and 15158 is 2.

Also check out the Least Common Multiple of 15148 and 15158