What is the Greatest Common Factor of 6472 and 6492?

Greatest common factor (GCF) of 6472 and 6492 is 4.

GCF(6472,6492) = 4

We will now calculate the prime factors of 6472 and 6492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6472 and 6492.

How to find the GCF of 6472 and 6492?

We will first find the prime factorization of 6472 and 6492. After we will calculate the factors of 6472 and 6492 and find the biggest common factor number .

Step-1: Prime Factorization of 6472

Prime factors of 6472 are 2, 809. Prime factorization of 6472 in exponential form is:

6472 = 2³ × 809¹

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 6472

List of positive integer factors of 6472 that divides 6472 without a remainder.

1, 2, 4, 8, 809, 1618, 3236

Step-4: Factors of 6492

List of positive integer factors of 6492 that divides 6472 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 6472 and 6492. The biggest common factor number is the GCF number.
So the greatest common factor 6472 and 6492 is 4.

Also check out the Least Common Multiple of 6472 and 6492