What is the Greatest Common Factor of 6461 and 6475?

Greatest common factor (GCF) of 6461 and 6475 is 7.

GCF(6461,6475) = 7

We will now calculate the prime factors of 6461 and 6475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6461 and 6475.

How to find the GCF of 6461 and 6475?

We will first find the prime factorization of 6461 and 6475. After we will calculate the factors of 6461 and 6475 and find the biggest common factor number .

Step-1: Prime Factorization of 6461

Prime factors of 6461 are 7, 13, 71. Prime factorization of 6461 in exponential form is:

6461 = 7¹ × 13¹ × 71¹

Step-2: 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-3: Factors of 6461

List of positive integer factors of 6461 that divides 6461 without a remainder.

1, 7, 13, 71, 91, 497, 923

Step-4: Factors of 6475

List of positive integer factors of 6475 that divides 6461 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6461 and 6475. The biggest common factor number is the GCF number.
So the greatest common factor 6461 and 6475 is 7.

Also check out the Least Common Multiple of 6461 and 6475