What is the Greatest Common Factor of 6460 and 6476?

Greatest common factor (GCF) of 6460 and 6476 is 4.

GCF(6460,6476) = 4

We will now calculate the prime factors of 6460 and 6476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6460 and 6476.

How to find the GCF of 6460 and 6476?

We will first find the prime factorization of 6460 and 6476. After we will calculate the factors of 6460 and 6476 and find the biggest common factor number .

Step-1: Prime Factorization of 6460

Prime factors of 6460 are 2, 5, 17, 19. Prime factorization of 6460 in exponential form is:

6460 = 2² × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 6476

Prime factors of 6476 are 2, 1619. Prime factorization of 6476 in exponential form is:

6476 = 2² × 1619¹

Step-3: Factors of 6460

List of positive integer factors of 6460 that divides 6460 without a remainder.

1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230

Step-4: Factors of 6476

List of positive integer factors of 6476 that divides 6460 without a remainder.

1, 2, 4, 1619, 3238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6460 and 6476. The biggest common factor number is the GCF number.
So the greatest common factor 6460 and 6476 is 4.

Also check out the Least Common Multiple of 6460 and 6476