What is the Greatest Common Factor of 15239 and 15246?

Greatest common factor (GCF) of 15239 and 15246 is 7.

GCF(15239,15246) = 7

We will now calculate the prime factors of 15239 and 15246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15239 and 15246.

How to find the GCF of 15239 and 15246?

We will first find the prime factorization of 15239 and 15246. After we will calculate the factors of 15239 and 15246 and find the biggest common factor number .

Step-1: Prime Factorization of 15239

Prime factors of 15239 are 7, 311. Prime factorization of 15239 in exponential form is:

15239 = 7² × 311¹

Step-2: Prime Factorization of 15246

Prime factors of 15246 are 2, 3, 7, 11. Prime factorization of 15246 in exponential form is:

15246 = 2¹ × 3² × 7¹ × 11²

Step-3: Factors of 15239

List of positive integer factors of 15239 that divides 15239 without a remainder.

1, 7, 49, 311, 2177

Step-4: Factors of 15246

List of positive integer factors of 15246 that divides 15239 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15239 and 15246. The biggest common factor number is the GCF number.
So the greatest common factor 15239 and 15246 is 7.

Also check out the Least Common Multiple of 15239 and 15246