What is the Greatest Common Factor of 15162 and 15176?

Greatest common factor (GCF) of 15162 and 15176 is 14.

GCF(15162,15176) = 14

We will now calculate the prime factors of 15162 and 15176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15162 and 15176.

How to find the GCF of 15162 and 15176?

We will first find the prime factorization of 15162 and 15176. After we will calculate the factors of 15162 and 15176 and find the biggest common factor number .

Step-1: Prime Factorization of 15162

Prime factors of 15162 are 2, 3, 7, 19. Prime factorization of 15162 in exponential form is:

15162 = 2¹ × 3¹ × 7¹ × 19²

Step-2: Prime Factorization of 15176

Prime factors of 15176 are 2, 7, 271. Prime factorization of 15176 in exponential form is:

15176 = 2³ × 7¹ × 271¹

Step-3: Factors of 15162

List of positive integer factors of 15162 that divides 15162 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 361, 399, 722, 798, 1083, 2166, 2527, 5054, 7581

Step-4: Factors of 15176

List of positive integer factors of 15176 that divides 15162 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 271, 542, 1084, 1897, 2168, 3794, 7588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15162 and 15176. The biggest common factor number is the GCF number.
So the greatest common factor 15162 and 15176 is 14.

Also check out the Least Common Multiple of 15162 and 15176