What is the Greatest Common Factor of 12470 and 12490?

Greatest common factor (GCF) of 12470 and 12490 is 10.

GCF(12470,12490) = 10

We will now calculate the prime factors of 12470 and 12490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12470 and 12490.

How to find the GCF of 12470 and 12490?

We will first find the prime factorization of 12470 and 12490. After we will calculate the factors of 12470 and 12490 and find the biggest common factor number .

Step-1: Prime Factorization of 12470

Prime factors of 12470 are 2, 5, 29, 43. Prime factorization of 12470 in exponential form is:

12470 = 2¹ × 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 12490

Prime factors of 12490 are 2, 5, 1249. Prime factorization of 12490 in exponential form is:

12490 = 2¹ × 5¹ × 1249¹

Step-3: Factors of 12470

List of positive integer factors of 12470 that divides 12470 without a remainder.

1, 2, 5, 10, 29, 43, 58, 86, 145, 215, 290, 430, 1247, 2494, 6235

Step-4: Factors of 12490

List of positive integer factors of 12490 that divides 12470 without a remainder.

1, 2, 5, 10, 1249, 2498, 6245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12470 and 12490. The biggest common factor number is the GCF number.
So the greatest common factor 12470 and 12490 is 10.

Also check out the Least Common Multiple of 12470 and 12490