What is the Greatest Common Factor of 6460 and 6474?

Greatest common factor (GCF) of 6460 and 6474 is 2.

GCF(6460,6474) = 2

We will now calculate the prime factors of 6460 and 6474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6460 and 6474.

How to find the GCF of 6460 and 6474?

We will first find the prime factorization of 6460 and 6474. After we will calculate the factors of 6460 and 6474 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 6474

Prime factors of 6474 are 2, 3, 13, 83. Prime factorization of 6474 in exponential form is:

6474 = 2¹ × 3¹ × 13¹ × 83¹

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 6474

List of positive integer factors of 6474 that divides 6460 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 83, 166, 249, 498, 1079, 2158, 3237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6460 and 6474. The biggest common factor number is the GCF number.
So the greatest common factor 6460 and 6474 is 2.

Also check out the Least Common Multiple of 6460 and 6474