What is the Greatest Common Factor of 42264 and 42281?

Greatest common factor (GCF) of 42264 and 42281 is 1.

GCF(42264,42281) = 1

We will now calculate the prime factors of 42264 and 42281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42264 and 42281.

How to find the GCF of 42264 and 42281?

We will first find the prime factorization of 42264 and 42281. After we will calculate the factors of 42264 and 42281 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 42281

Prime factors of 42281 are 42281. Prime factorization of 42281 in exponential form is:

42281 = 42281¹

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 42281

List of positive integer factors of 42281 that divides 42264 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42264 and 42281. The biggest common factor number is the GCF number.
So the greatest common factor 42264 and 42281 is 1.

Also check out the Least Common Multiple of 42264 and 42281