What is the Greatest Common Factor of 42264 and 42278?

Greatest common factor (GCF) of 42264 and 42278 is 2.

GCF(42264,42278) = 2

We will now calculate the prime factors of 42264 and 42278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42264 and 42278.

How to find the GCF of 42264 and 42278?

We will first find the prime factorization of 42264 and 42278. After we will calculate the factors of 42264 and 42278 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 42278

Prime factors of 42278 are 2, 21139. Prime factorization of 42278 in exponential form is:

42278 = 2¹ × 21139¹

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 42278

List of positive integer factors of 42278 that divides 42264 without a remainder.

1, 2, 21139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42264 and 42278. The biggest common factor number is the GCF number.
So the greatest common factor 42264 and 42278 is 2.

Also check out the Least Common Multiple of 42264 and 42278