What is the Greatest Common Factor of 42252 and 42264?

Greatest common factor (GCF) of 42252 and 42264 is 12.

GCF(42252,42264) = 12

We will now calculate the prime factors of 42252 and 42264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42252 and 42264.

How to find the GCF of 42252 and 42264?

We will first find the prime factorization of 42252 and 42264. After we will calculate the factors of 42252 and 42264 and find the biggest common factor number .

Step-1: Prime Factorization of 42252

Prime factors of 42252 are 2, 3, 7, 503. Prime factorization of 42252 in exponential form is:

42252 = 2² × 3¹ × 7¹ × 503¹

Step-2: 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-3: Factors of 42252

List of positive integer factors of 42252 that divides 42252 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 503, 1006, 1509, 2012, 3018, 3521, 6036, 7042, 10563, 14084, 21126

Step-4: Factors of 42264

List of positive integer factors of 42264 that divides 42252 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42252 and 42264. The biggest common factor number is the GCF number.
So the greatest common factor 42252 and 42264 is 12.

Also check out the Least Common Multiple of 42252 and 42264