What is the Greatest Common Factor of 42264 and 42284?

Greatest common factor (GCF) of 42264 and 42284 is 4.

GCF(42264,42284) = 4

We will now calculate the prime factors of 42264 and 42284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42264 and 42284.

How to find the GCF of 42264 and 42284?

We will first find the prime factorization of 42264 and 42284. After we will calculate the factors of 42264 and 42284 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 42284

Prime factors of 42284 are 2, 11, 31. Prime factorization of 42284 in exponential form is:

42284 = 2² × 11¹ × 31²

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 42284

List of positive integer factors of 42284 that divides 42264 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 961, 1364, 1922, 3844, 10571, 21142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42264 and 42284. The biggest common factor number is the GCF number.
So the greatest common factor 42264 and 42284 is 4.

Also check out the Least Common Multiple of 42264 and 42284