What is the Greatest Common Factor of 5075 and 5089?

Greatest common factor (GCF) of 5075 and 5089 is 7.

GCF(5075,5089) = 7

We will now calculate the prime factors of 5075 and 5089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5075 and 5089.

How to find the GCF of 5075 and 5089?

We will first find the prime factorization of 5075 and 5089. After we will calculate the factors of 5075 and 5089 and find the biggest common factor number .

Step-1: Prime Factorization of 5075

Prime factors of 5075 are 5, 7, 29. Prime factorization of 5075 in exponential form is:

5075 = 5² × 7¹ × 29¹

Step-2: Prime Factorization of 5089

Prime factors of 5089 are 7, 727. Prime factorization of 5089 in exponential form is:

5089 = 7¹ × 727¹

Step-3: Factors of 5075

List of positive integer factors of 5075 that divides 5075 without a remainder.

1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015

Step-4: Factors of 5089

List of positive integer factors of 5089 that divides 5075 without a remainder.

1, 7, 727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5075 and 5089. The biggest common factor number is the GCF number.
So the greatest common factor 5075 and 5089 is 7.

Also check out the Least Common Multiple of 5075 and 5089