What is the Greatest Common Factor of 6477 and 6492?

Greatest common factor (GCF) of 6477 and 6492 is 3.

GCF(6477,6492) = 3

We will now calculate the prime factors of 6477 and 6492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6477 and 6492.

How to find the GCF of 6477 and 6492?

We will first find the prime factorization of 6477 and 6492. After we will calculate the factors of 6477 and 6492 and find the biggest common factor number .

Step-1: Prime Factorization of 6477

Prime factors of 6477 are 3, 17, 127. Prime factorization of 6477 in exponential form is:

6477 = 3¹ × 17¹ × 127¹

Step-2: Prime Factorization of 6492

Prime factors of 6492 are 2, 3, 541. Prime factorization of 6492 in exponential form is:

6492 = 2² × 3¹ × 541¹

Step-3: Factors of 6477

List of positive integer factors of 6477 that divides 6477 without a remainder.

1, 3, 17, 51, 127, 381, 2159

Step-4: Factors of 6492

List of positive integer factors of 6492 that divides 6477 without a remainder.

1, 2, 3, 4, 6, 12, 541, 1082, 1623, 2164, 3246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6477 and 6492. The biggest common factor number is the GCF number.
So the greatest common factor 6477 and 6492 is 3.

Also check out the Least Common Multiple of 6477 and 6492