What is the Greatest Common Factor of 42264 and 42274?

Greatest common factor (GCF) of 42264 and 42274 is 2.

GCF(42264,42274) = 2

We will now calculate the prime factors of 42264 and 42274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42264 and 42274.

How to find the GCF of 42264 and 42274?

We will first find the prime factorization of 42264 and 42274. After we will calculate the factors of 42264 and 42274 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 42274

Prime factors of 42274 are 2, 23, 919. Prime factorization of 42274 in exponential form is:

42274 = 2¹ × 23¹ × 919¹

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 42274

List of positive integer factors of 42274 that divides 42264 without a remainder.

1, 2, 23, 46, 919, 1838, 21137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42264 and 42274. The biggest common factor number is the GCF number.
So the greatest common factor 42264 and 42274 is 2.

Also check out the Least Common Multiple of 42264 and 42274