What is the Greatest Common Factor of 42264 and 42280?

Greatest common factor (GCF) of 42264 and 42280 is 8.

GCF(42264,42280) = 8

We will now calculate the prime factors of 42264 and 42280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42264 and 42280.

How to find the GCF of 42264 and 42280?

We will first find the prime factorization of 42264 and 42280. After we will calculate the factors of 42264 and 42280 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 42280

Prime factors of 42280 are 2, 5, 7, 151. Prime factorization of 42280 in exponential form is:

42280 = 2³ × 5¹ × 7¹ × 151¹

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 42280

List of positive integer factors of 42280 that divides 42264 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 151, 280, 302, 604, 755, 1057, 1208, 1510, 2114, 3020, 4228, 5285, 6040, 8456, 10570, 21140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42264 and 42280. The biggest common factor number is the GCF number.
So the greatest common factor 42264 and 42280 is 8.

Also check out the Least Common Multiple of 42264 and 42280