What is the Greatest Common Factor of 42264 and 42279?

Greatest common factor (GCF) of 42264 and 42279 is 3.

GCF(42264,42279) = 3

We will now calculate the prime factors of 42264 and 42279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42264 and 42279.

How to find the GCF of 42264 and 42279?

We will first find the prime factorization of 42264 and 42279. After we will calculate the factors of 42264 and 42279 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 42279

Prime factors of 42279 are 3, 17, 829. Prime factorization of 42279 in exponential form is:

42279 = 3¹ × 17¹ × 829¹

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 42279

List of positive integer factors of 42279 that divides 42264 without a remainder.

1, 3, 17, 51, 829, 2487, 14093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42264 and 42279. The biggest common factor number is the GCF number.
So the greatest common factor 42264 and 42279 is 3.

Also check out the Least Common Multiple of 42264 and 42279