What is the Greatest Common Factor of 42344 and 42356?

Greatest common factor (GCF) of 42344 and 42356 is 4.

GCF(42344,42356) = 4

We will now calculate the prime factors of 42344 and 42356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42344 and 42356.

How to find the GCF of 42344 and 42356?

We will first find the prime factorization of 42344 and 42356. After we will calculate the factors of 42344 and 42356 and find the biggest common factor number .

Step-1: Prime Factorization of 42344

Prime factors of 42344 are 2, 67, 79. Prime factorization of 42344 in exponential form is:

42344 = 2³ × 67¹ × 79¹

Step-2: Prime Factorization of 42356

Prime factors of 42356 are 2, 10589. Prime factorization of 42356 in exponential form is:

42356 = 2² × 10589¹

Step-3: Factors of 42344

List of positive integer factors of 42344 that divides 42344 without a remainder.

1, 2, 4, 8, 67, 79, 134, 158, 268, 316, 536, 632, 5293, 10586, 21172

Step-4: Factors of 42356

List of positive integer factors of 42356 that divides 42344 without a remainder.

1, 2, 4, 10589, 21178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42344 and 42356. The biggest common factor number is the GCF number.
So the greatest common factor 42344 and 42356 is 4.

Also check out the Least Common Multiple of 42344 and 42356