What is the Greatest Common Factor of 25501 and 25515?

Greatest common factor (GCF) of 25501 and 25515 is 7.

GCF(25501,25515) = 7

We will now calculate the prime factors of 25501 and 25515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25501 and 25515.

How to find the GCF of 25501 and 25515?

We will first find the prime factorization of 25501 and 25515. After we will calculate the factors of 25501 and 25515 and find the biggest common factor number .

Step-1: Prime Factorization of 25501

Prime factors of 25501 are 7, 3643. Prime factorization of 25501 in exponential form is:

25501 = 7¹ × 3643¹

Step-2: Prime Factorization of 25515

Prime factors of 25515 are 3, 5, 7. Prime factorization of 25515 in exponential form is:

25515 = 3⁶ × 5¹ × 7¹

Step-3: Factors of 25501

List of positive integer factors of 25501 that divides 25501 without a remainder.

1, 7, 3643

Step-4: Factors of 25515

List of positive integer factors of 25515 that divides 25501 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 729, 945, 1215, 1701, 2835, 3645, 5103, 8505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25501 and 25515. The biggest common factor number is the GCF number.
So the greatest common factor 25501 and 25515 is 7.

Also check out the Least Common Multiple of 25501 and 25515