What is the Greatest Common Factor of 6475 and 6489?

Greatest common factor (GCF) of 6475 and 6489 is 7.

GCF(6475,6489) = 7

We will now calculate the prime factors of 6475 and 6489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6475 and 6489.

How to find the GCF of 6475 and 6489?

We will first find the prime factorization of 6475 and 6489. After we will calculate the factors of 6475 and 6489 and find the biggest common factor number .

Step-1: Prime Factorization of 6475

Prime factors of 6475 are 5, 7, 37. Prime factorization of 6475 in exponential form is:

6475 = 5² × 7¹ × 37¹

Step-2: Prime Factorization of 6489

Prime factors of 6489 are 3, 7, 103. Prime factorization of 6489 in exponential form is:

6489 = 3² × 7¹ × 103¹

Step-3: Factors of 6475

List of positive integer factors of 6475 that divides 6475 without a remainder.

1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295

Step-4: Factors of 6489

List of positive integer factors of 6489 that divides 6475 without a remainder.

1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6475 and 6489. The biggest common factor number is the GCF number.
So the greatest common factor 6475 and 6489 is 7.

Also check out the Least Common Multiple of 6475 and 6489