What is the Greatest Common Factor of 52675 and 52689?

Greatest common factor (GCF) of 52675 and 52689 is 7.

GCF(52675,52689) = 7

We will now calculate the prime factors of 52675 and 52689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52675 and 52689.

How to find the GCF of 52675 and 52689?

We will first find the prime factorization of 52675 and 52689. After we will calculate the factors of 52675 and 52689 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 52689

Prime factors of 52689 are 3, 7, 13, 193. Prime factorization of 52689 in exponential form is:

52689 = 3¹ × 7¹ × 13¹ × 193¹

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 52689

List of positive integer factors of 52689 that divides 52675 without a remainder.

1, 3, 7, 13, 21, 39, 91, 193, 273, 579, 1351, 2509, 4053, 7527, 17563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52675 and 52689. The biggest common factor number is the GCF number.
So the greatest common factor 52675 and 52689 is 7.

Also check out the Least Common Multiple of 52675 and 52689