What is the Greatest Common Factor of 42072 and 42084?

Greatest common factor (GCF) of 42072 and 42084 is 12.

GCF(42072,42084) = 12

We will now calculate the prime factors of 42072 and 42084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42072 and 42084.

How to find the GCF of 42072 and 42084?

We will first find the prime factorization of 42072 and 42084. After we will calculate the factors of 42072 and 42084 and find the biggest common factor number .

Step-1: Prime Factorization of 42072

Prime factors of 42072 are 2, 3, 1753. Prime factorization of 42072 in exponential form is:

42072 = 2³ × 3¹ × 1753¹

Step-2: Prime Factorization of 42084

Prime factors of 42084 are 2, 3, 7, 167. Prime factorization of 42084 in exponential form is:

42084 = 2² × 3² × 7¹ × 167¹

Step-3: Factors of 42072

List of positive integer factors of 42072 that divides 42072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1753, 3506, 5259, 7012, 10518, 14024, 21036

Step-4: Factors of 42084

List of positive integer factors of 42084 that divides 42072 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 167, 252, 334, 501, 668, 1002, 1169, 1503, 2004, 2338, 3006, 3507, 4676, 6012, 7014, 10521, 14028, 21042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42072 and 42084. The biggest common factor number is the GCF number.
So the greatest common factor 42072 and 42084 is 12.

Also check out the Least Common Multiple of 42072 and 42084