What is the Greatest Common Factor of 42264 and 42276?

Greatest common factor (GCF) of 42264 and 42276 is 12.

GCF(42264,42276) = 12

We will now calculate the prime factors of 42264 and 42276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42264 and 42276.

How to find the GCF of 42264 and 42276?

We will first find the prime factorization of 42264 and 42276. After we will calculate the factors of 42264 and 42276 and find the biggest common factor number .

Step-1: Prime Factorization of 42264

Prime factors of 42264 are 2, 3, 587. Prime factorization of 42264 in exponential form is:

42264 = 2³ × 3² × 587¹

Step-2: Prime Factorization of 42276

Prime factors of 42276 are 2, 3, 13, 271. Prime factorization of 42276 in exponential form is:

42276 = 2² × 3¹ × 13¹ × 271¹

Step-3: Factors of 42264

List of positive integer factors of 42264 that divides 42264 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 587, 1174, 1761, 2348, 3522, 4696, 5283, 7044, 10566, 14088, 21132

Step-4: Factors of 42276

List of positive integer factors of 42276 that divides 42264 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 271, 542, 813, 1084, 1626, 3252, 3523, 7046, 10569, 14092, 21138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42264 and 42276. The biggest common factor number is the GCF number.
So the greatest common factor 42264 and 42276 is 12.

Also check out the Least Common Multiple of 42264 and 42276