What is the Greatest Common Factor of 6474 and 6480?

Greatest common factor (GCF) of 6474 and 6480 is 6.

GCF(6474,6480) = 6

We will now calculate the prime factors of 6474 and 6480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6474 and 6480.

How to find the GCF of 6474 and 6480?

We will first find the prime factorization of 6474 and 6480. After we will calculate the factors of 6474 and 6480 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 6480

Prime factors of 6480 are 2, 3, 5. Prime factorization of 6480 in exponential form is:

6480 = 2⁴ × 3⁴ × 5¹

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 6480

List of positive integer factors of 6480 that divides 6474 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6474 and 6480. The biggest common factor number is the GCF number.
So the greatest common factor 6474 and 6480 is 6.

Also check out the Least Common Multiple of 6474 and 6480