What is the Greatest Common Factor of 52661 and 52675?

Greatest common factor (GCF) of 52661 and 52675 is 7.

GCF(52661,52675) = 7

We will now calculate the prime factors of 52661 and 52675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52661 and 52675.

How to find the GCF of 52661 and 52675?

We will first find the prime factorization of 52661 and 52675. After we will calculate the factors of 52661 and 52675 and find the biggest common factor number .

Step-1: Prime Factorization of 52661

Prime factors of 52661 are 7, 7523. Prime factorization of 52661 in exponential form is:

52661 = 7¹ × 7523¹

Step-2: Prime Factorization of 52675

Prime factors of 52675 are 5, 7, 43. Prime factorization of 52675 in exponential form is:

52675 = 5² × 7² × 43¹

Step-3: Factors of 52661

List of positive integer factors of 52661 that divides 52661 without a remainder.

1, 7, 7523

Step-4: Factors of 52675

List of positive integer factors of 52675 that divides 52661 without a remainder.

1, 5, 7, 25, 35, 43, 49, 175, 215, 245, 301, 1075, 1225, 1505, 2107, 7525, 10535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52661 and 52675. The biggest common factor number is the GCF number.
So the greatest common factor 52661 and 52675 is 7.

Also check out the Least Common Multiple of 52661 and 52675