What is the Greatest Common Factor of 63477 and 63483?

Greatest common factor (GCF) of 63477 and 63483 is 3.

GCF(63477,63483) = 3

We will now calculate the prime factors of 63477 and 63483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63477 and 63483.

How to find the GCF of 63477 and 63483?

We will first find the prime factorization of 63477 and 63483. After we will calculate the factors of 63477 and 63483 and find the biggest common factor number .

Step-1: Prime Factorization of 63477

Prime factors of 63477 are 3, 2351. Prime factorization of 63477 in exponential form is:

63477 = 3³ × 2351¹

Step-2: Prime Factorization of 63483

Prime factors of 63483 are 3, 7, 3023. Prime factorization of 63483 in exponential form is:

63483 = 3¹ × 7¹ × 3023¹

Step-3: Factors of 63477

List of positive integer factors of 63477 that divides 63477 without a remainder.

1, 3, 9, 27, 2351, 7053, 21159

Step-4: Factors of 63483

List of positive integer factors of 63483 that divides 63477 without a remainder.

1, 3, 7, 21, 3023, 9069, 21161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63477 and 63483. The biggest common factor number is the GCF number.
So the greatest common factor 63477 and 63483 is 3.

Also check out the Least Common Multiple of 63477 and 63483