What is the Greatest Common Factor of 12725 and 12740?

Greatest common factor (GCF) of 12725 and 12740 is 5.

GCF(12725,12740) = 5

We will now calculate the prime factors of 12725 and 12740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12725 and 12740.

How to find the GCF of 12725 and 12740?

We will first find the prime factorization of 12725 and 12740. After we will calculate the factors of 12725 and 12740 and find the biggest common factor number .

Step-1: Prime Factorization of 12725

Prime factors of 12725 are 5, 509. Prime factorization of 12725 in exponential form is:

12725 = 5² × 509¹

Step-2: Prime Factorization of 12740

Prime factors of 12740 are 2, 5, 7, 13. Prime factorization of 12740 in exponential form is:

12740 = 2² × 5¹ × 7² × 13¹

Step-3: Factors of 12725

List of positive integer factors of 12725 that divides 12725 without a remainder.

1, 5, 25, 509, 2545

Step-4: Factors of 12740

List of positive integer factors of 12740 that divides 12725 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 49, 52, 65, 70, 91, 98, 130, 140, 182, 196, 245, 260, 364, 455, 490, 637, 910, 980, 1274, 1820, 2548, 3185, 6370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12725 and 12740. The biggest common factor number is the GCF number.
So the greatest common factor 12725 and 12740 is 5.

Also check out the Least Common Multiple of 12725 and 12740