What is the Greatest Common Factor of 52675 and 52690?

Greatest common factor (GCF) of 52675 and 52690 is 5.

GCF(52675,52690) = 5

We will now calculate the prime factors of 52675 and 52690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52675 and 52690.

How to find the GCF of 52675 and 52690?

We will first find the prime factorization of 52675 and 52690. After we will calculate the factors of 52675 and 52690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52690

Prime factors of 52690 are 2, 5, 11, 479. Prime factorization of 52690 in exponential form is:

52690 = 2¹ × 5¹ × 11¹ × 479¹

Step-3: Factors of 52675

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

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

Step-4: Factors of 52690

List of positive integer factors of 52690 that divides 52675 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 479, 958, 2395, 4790, 5269, 10538, 26345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52675 and 52690. The biggest common factor number is the GCF number.
So the greatest common factor 52675 and 52690 is 5.

Also check out the Least Common Multiple of 52675 and 52690