What is the Greatest Common Factor of 25025 and 25038?

Greatest common factor (GCF) of 25025 and 25038 is 13.

GCF(25025,25038) = 13

We will now calculate the prime factors of 25025 and 25038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25025 and 25038.

How to find the GCF of 25025 and 25038?

We will first find the prime factorization of 25025 and 25038. After we will calculate the factors of 25025 and 25038 and find the biggest common factor number .

Step-1: Prime Factorization of 25025

Prime factors of 25025 are 5, 7, 11, 13. Prime factorization of 25025 in exponential form is:

25025 = 5² × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 25038

Prime factors of 25038 are 2, 3, 13, 107. Prime factorization of 25038 in exponential form is:

25038 = 2¹ × 3² × 13¹ × 107¹

Step-3: Factors of 25025

List of positive integer factors of 25025 that divides 25025 without a remainder.

1, 5, 7, 11, 13, 25, 35, 55, 65, 77, 91, 143, 175, 275, 325, 385, 455, 715, 1001, 1925, 2275, 3575, 5005

Step-4: Factors of 25038

List of positive integer factors of 25038 that divides 25025 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 107, 117, 214, 234, 321, 642, 963, 1391, 1926, 2782, 4173, 8346, 12519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25025 and 25038. The biggest common factor number is the GCF number.
So the greatest common factor 25025 and 25038 is 13.

Also check out the Least Common Multiple of 25025 and 25038