What is the Greatest Common Factor of 42084 and 42096?

Greatest common factor (GCF) of 42084 and 42096 is 12.

GCF(42084,42096) = 12

We will now calculate the prime factors of 42084 and 42096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42084 and 42096.

How to find the GCF of 42084 and 42096?

We will first find the prime factorization of 42084 and 42096. After we will calculate the factors of 42084 and 42096 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42096

Prime factors of 42096 are 2, 3, 877. Prime factorization of 42096 in exponential form is:

42096 = 2⁴ × 3¹ × 877¹

Step-3: Factors of 42084

List of positive integer factors of 42084 that divides 42084 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

Step-4: Factors of 42096

List of positive integer factors of 42096 that divides 42084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 877, 1754, 2631, 3508, 5262, 7016, 10524, 14032, 21048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42084 and 42096. The biggest common factor number is the GCF number.
So the greatest common factor 42084 and 42096 is 12.

Also check out the Least Common Multiple of 42084 and 42096