What is the Greatest Common Factor of 15230 and 15246?

Greatest common factor (GCF) of 15230 and 15246 is 2.

GCF(15230,15246) = 2

We will now calculate the prime factors of 15230 and 15246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15230 and 15246.

How to find the GCF of 15230 and 15246?

We will first find the prime factorization of 15230 and 15246. After we will calculate the factors of 15230 and 15246 and find the biggest common factor number .

Step-1: Prime Factorization of 15230

Prime factors of 15230 are 2, 5, 1523. Prime factorization of 15230 in exponential form is:

15230 = 2¹ × 5¹ × 1523¹

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 15230

List of positive integer factors of 15230 that divides 15230 without a remainder.

1, 2, 5, 10, 1523, 3046, 7615

Step-4: Factors of 15246

List of positive integer factors of 15246 that divides 15230 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 15230 and 15246. The biggest common factor number is the GCF number.
So the greatest common factor 15230 and 15246 is 2.

Also check out the Least Common Multiple of 15230 and 15246