What is the Greatest Common Factor of 6460 and 6479?

Greatest common factor (GCF) of 6460 and 6479 is 19.

GCF(6460,6479) = 19

We will now calculate the prime factors of 6460 and 6479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6460 and 6479.

How to find the GCF of 6460 and 6479?

We will first find the prime factorization of 6460 and 6479. After we will calculate the factors of 6460 and 6479 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 6479

Prime factors of 6479 are 11, 19, 31. Prime factorization of 6479 in exponential form is:

6479 = 11¹ × 19¹ × 31¹

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 6479

List of positive integer factors of 6479 that divides 6460 without a remainder.

1, 11, 19, 31, 209, 341, 589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6460 and 6479. The biggest common factor number is the GCF number.
So the greatest common factor 6460 and 6479 is 19.

Also check out the Least Common Multiple of 6460 and 6479