What is the Greatest Common Factor of 25389 and 25402?

Greatest common factor (GCF) of 25389 and 25402 is 13.

GCF(25389,25402) = 13

We will now calculate the prime factors of 25389 and 25402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25389 and 25402.

How to find the GCF of 25389 and 25402?

We will first find the prime factorization of 25389 and 25402. After we will calculate the factors of 25389 and 25402 and find the biggest common factor number .

Step-1: Prime Factorization of 25389

Prime factors of 25389 are 3, 7, 13, 31. Prime factorization of 25389 in exponential form is:

25389 = 3² × 7¹ × 13¹ × 31¹

Step-2: Prime Factorization of 25402

Prime factors of 25402 are 2, 13, 977. Prime factorization of 25402 in exponential form is:

25402 = 2¹ × 13¹ × 977¹

Step-3: Factors of 25389

List of positive integer factors of 25389 that divides 25389 without a remainder.

1, 3, 7, 9, 13, 21, 31, 39, 63, 91, 93, 117, 217, 273, 279, 403, 651, 819, 1209, 1953, 2821, 3627, 8463

Step-4: Factors of 25402

List of positive integer factors of 25402 that divides 25389 without a remainder.

1, 2, 13, 26, 977, 1954, 12701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25389 and 25402. The biggest common factor number is the GCF number.
So the greatest common factor 25389 and 25402 is 13.

Also check out the Least Common Multiple of 25389 and 25402