What is the Greatest Common Factor of 25510 and 25525?

Greatest common factor (GCF) of 25510 and 25525 is 5.

GCF(25510,25525) = 5

We will now calculate the prime factors of 25510 and 25525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25510 and 25525.

How to find the GCF of 25510 and 25525?

We will first find the prime factorization of 25510 and 25525. After we will calculate the factors of 25510 and 25525 and find the biggest common factor number .

Step-1: Prime Factorization of 25510

Prime factors of 25510 are 2, 5, 2551. Prime factorization of 25510 in exponential form is:

25510 = 2¹ × 5¹ × 2551¹

Step-2: Prime Factorization of 25525

Prime factors of 25525 are 5, 1021. Prime factorization of 25525 in exponential form is:

25525 = 5² × 1021¹

Step-3: Factors of 25510

List of positive integer factors of 25510 that divides 25510 without a remainder.

1, 2, 5, 10, 2551, 5102, 12755

Step-4: Factors of 25525

List of positive integer factors of 25525 that divides 25510 without a remainder.

1, 5, 25, 1021, 5105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25510 and 25525. The biggest common factor number is the GCF number.
So the greatest common factor 25510 and 25525 is 5.

Also check out the Least Common Multiple of 25510 and 25525