What is the Greatest Common Factor of 63084 and 63093?

Greatest common factor (GCF) of 63084 and 63093 is 3.

GCF(63084,63093) = 3

We will now calculate the prime factors of 63084 and 63093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63084 and 63093.

How to find the GCF of 63084 and 63093?

We will first find the prime factorization of 63084 and 63093. After we will calculate the factors of 63084 and 63093 and find the biggest common factor number .

Step-1: Prime Factorization of 63084

Prime factors of 63084 are 2, 3, 7, 751. Prime factorization of 63084 in exponential form is:

63084 = 2² × 3¹ × 7¹ × 751¹

Step-2: Prime Factorization of 63093

Prime factors of 63093 are 3, 21031. Prime factorization of 63093 in exponential form is:

63093 = 3¹ × 21031¹

Step-3: Factors of 63084

List of positive integer factors of 63084 that divides 63084 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 751, 1502, 2253, 3004, 4506, 5257, 9012, 10514, 15771, 21028, 31542

Step-4: Factors of 63093

List of positive integer factors of 63093 that divides 63084 without a remainder.

1, 3, 21031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63084 and 63093. The biggest common factor number is the GCF number.
So the greatest common factor 63084 and 63093 is 3.

Also check out the Least Common Multiple of 63084 and 63093