What is the Greatest Common Factor of 42096 and 42108?

Greatest common factor (GCF) of 42096 and 42108 is 12.

GCF(42096,42108) = 12

We will now calculate the prime factors of 42096 and 42108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42096 and 42108.

How to find the GCF of 42096 and 42108?

We will first find the prime factorization of 42096 and 42108. After we will calculate the factors of 42096 and 42108 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42108

Prime factors of 42108 are 2, 3, 11, 29. Prime factorization of 42108 in exponential form is:

42108 = 2² × 3¹ × 11² × 29¹

Step-3: Factors of 42096

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

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

Step-4: Factors of 42108

List of positive integer factors of 42108 that divides 42096 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 121, 132, 174, 242, 319, 348, 363, 484, 638, 726, 957, 1276, 1452, 1914, 3509, 3828, 7018, 10527, 14036, 21054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42096 and 42108. The biggest common factor number is the GCF number.
So the greatest common factor 42096 and 42108 is 12.

Also check out the Least Common Multiple of 42096 and 42108