What is the Greatest Common Factor of 52505 and 52525?

Greatest common factor (GCF) of 52505 and 52525 is 5.

GCF(52505,52525) = 5

We will now calculate the prime factors of 52505 and 52525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52505 and 52525.

How to find the GCF of 52505 and 52525?

We will first find the prime factorization of 52505 and 52525. After we will calculate the factors of 52505 and 52525 and find the biggest common factor number .

Step-1: Prime Factorization of 52505

Prime factors of 52505 are 5, 10501. Prime factorization of 52505 in exponential form is:

52505 = 5¹ × 10501¹

Step-2: Prime Factorization of 52525

Prime factors of 52525 are 5, 11, 191. Prime factorization of 52525 in exponential form is:

52525 = 5² × 11¹ × 191¹

Step-3: Factors of 52505

List of positive integer factors of 52505 that divides 52505 without a remainder.

1, 5, 10501

Step-4: Factors of 52525

List of positive integer factors of 52525 that divides 52505 without a remainder.

1, 5, 11, 25, 55, 191, 275, 955, 2101, 4775, 10505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52505 and 52525. The biggest common factor number is the GCF number.
So the greatest common factor 52505 and 52525 is 5.

Also check out the Least Common Multiple of 52505 and 52525