What is the Greatest Common Factor of 6474 and 6487?

Greatest common factor (GCF) of 6474 and 6487 is 13.

GCF(6474,6487) = 13

We will now calculate the prime factors of 6474 and 6487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6474 and 6487.

How to find the GCF of 6474 and 6487?

We will first find the prime factorization of 6474 and 6487. After we will calculate the factors of 6474 and 6487 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6487

Prime factors of 6487 are 13, 499. Prime factorization of 6487 in exponential form is:

6487 = 13¹ × 499¹

Step-3: Factors of 6474

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

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

Step-4: Factors of 6487

List of positive integer factors of 6487 that divides 6474 without a remainder.

1, 13, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6474 and 6487. The biggest common factor number is the GCF number.
So the greatest common factor 6474 and 6487 is 13.

Also check out the Least Common Multiple of 6474 and 6487