What is the Greatest Common Factor of 63012 and 63024?

Greatest common factor (GCF) of 63012 and 63024 is 12.

GCF(63012,63024) = 12

We will now calculate the prime factors of 63012 and 63024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63012 and 63024.

How to find the GCF of 63012 and 63024?

We will first find the prime factorization of 63012 and 63024. After we will calculate the factors of 63012 and 63024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63024

Prime factors of 63024 are 2, 3, 13, 101. Prime factorization of 63024 in exponential form is:

63024 = 2⁴ × 3¹ × 13¹ × 101¹

Step-3: Factors of 63012

List of positive integer factors of 63012 that divides 63012 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

Step-4: Factors of 63024

List of positive integer factors of 63024 that divides 63012 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 101, 104, 156, 202, 208, 303, 312, 404, 606, 624, 808, 1212, 1313, 1616, 2424, 2626, 3939, 4848, 5252, 7878, 10504, 15756, 21008, 31512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63012 and 63024. The biggest common factor number is the GCF number.
So the greatest common factor 63012 and 63024 is 12.

Also check out the Least Common Multiple of 63012 and 63024