What is the Greatest Common Factor of 42360 and 42379?

Greatest common factor (GCF) of 42360 and 42379 is 1.

GCF(42360,42379) = 1

We will now calculate the prime factors of 42360 and 42379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42360 and 42379.

How to find the GCF of 42360 and 42379?

We will first find the prime factorization of 42360 and 42379. After we will calculate the factors of 42360 and 42379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42379

Prime factors of 42379 are 42379. Prime factorization of 42379 in exponential form is:

42379 = 42379¹

Step-3: Factors of 42360

List of positive integer factors of 42360 that divides 42360 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

Step-4: Factors of 42379

List of positive integer factors of 42379 that divides 42360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42360 and 42379. The biggest common factor number is the GCF number.
So the greatest common factor 42360 and 42379 is 1.

Also check out the Least Common Multiple of 42360 and 42379