What is the Greatest Common Factor of 63006 and 63012?

Greatest common factor (GCF) of 63006 and 63012 is 6.

GCF(63006,63012) = 6

We will now calculate the prime factors of 63006 and 63012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63006 and 63012.

How to find the GCF of 63006 and 63012?

We will first find the prime factorization of 63006 and 63012. After we will calculate the factors of 63006 and 63012 and find the biggest common factor number .

Step-1: Prime Factorization of 63006

Prime factors of 63006 are 2, 3, 10501. Prime factorization of 63006 in exponential form is:

63006 = 2¹ × 3¹ × 10501¹

Step-2: Prime Factorization of 63012

Prime factors of 63012 are 2, 3, 59, 89. Prime factorization of 63012 in exponential form is:

63012 = 2² × 3¹ × 59¹ × 89¹

Step-3: Factors of 63006

List of positive integer factors of 63006 that divides 63006 without a remainder.

1, 2, 3, 6, 10501, 21002, 31503

Step-4: Factors of 63012

List of positive integer factors of 63012 that divides 63006 without a remainder.

1, 2, 3, 4, 6, 12, 59, 89, 118, 177, 178, 236, 267, 354, 356, 534, 708, 1068, 5251, 10502, 15753, 21004, 31506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63006 and 63012. The biggest common factor number is the GCF number.
So the greatest common factor 63006 and 63012 is 6.

Also check out the Least Common Multiple of 63006 and 63012