What is the Greatest Common Factor of 52675 and 52691?

Greatest common factor (GCF) of 52675 and 52691 is 1.

GCF(52675,52691) = 1

We will now calculate the prime factors of 52675 and 52691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52675 and 52691.

How to find the GCF of 52675 and 52691?

We will first find the prime factorization of 52675 and 52691. After we will calculate the factors of 52675 and 52691 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 52691

Prime factors of 52691 are 52691. Prime factorization of 52691 in exponential form is:

52691 = 52691¹

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 52691

List of positive integer factors of 52691 that divides 52675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52675 and 52691. The biggest common factor number is the GCF number.
So the greatest common factor 52675 and 52691 is 1.

Also check out the Least Common Multiple of 52675 and 52691