What is the Greatest Common Factor of 38675 and 38689?

Greatest common factor (GCF) of 38675 and 38689 is 7.

GCF(38675,38689) = 7

We will now calculate the prime factors of 38675 and 38689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38675 and 38689.

How to find the GCF of 38675 and 38689?

We will first find the prime factorization of 38675 and 38689. After we will calculate the factors of 38675 and 38689 and find the biggest common factor number .

Step-1: Prime Factorization of 38675

Prime factors of 38675 are 5, 7, 13, 17. Prime factorization of 38675 in exponential form is:

38675 = 5² × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 38689

Prime factors of 38689 are 7, 5527. Prime factorization of 38689 in exponential form is:

38689 = 7¹ × 5527¹

Step-3: Factors of 38675

List of positive integer factors of 38675 that divides 38675 without a remainder.

1, 5, 7, 13, 17, 25, 35, 65, 85, 91, 119, 175, 221, 325, 425, 455, 595, 1105, 1547, 2275, 2975, 5525, 7735

Step-4: Factors of 38689

List of positive integer factors of 38689 that divides 38675 without a remainder.

1, 7, 5527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38675 and 38689. The biggest common factor number is the GCF number.
So the greatest common factor 38675 and 38689 is 7.

Also check out the Least Common Multiple of 38675 and 38689