What is the Greatest Common Factor of 42344 and 42360?

Greatest common factor (GCF) of 42344 and 42360 is 8.

GCF(42344,42360) = 8

We will now calculate the prime factors of 42344 and 42360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42344 and 42360.

How to find the GCF of 42344 and 42360?

We will first find the prime factorization of 42344 and 42360. After we will calculate the factors of 42344 and 42360 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 42360

Prime factors of 42360 are 2, 3, 5, 353. Prime factorization of 42360 in exponential form is:

42360 = 2³ × 3¹ × 5¹ × 353¹

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 42360

List of positive integer factors of 42360 that divides 42344 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 353, 706, 1059, 1412, 1765, 2118, 2824, 3530, 4236, 5295, 7060, 8472, 10590, 14120, 21180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42344 and 42360. The biggest common factor number is the GCF number.
So the greatest common factor 42344 and 42360 is 8.

Also check out the Least Common Multiple of 42344 and 42360