What is the Greatest Common Factor of 42352 and 42358?

Greatest common factor (GCF) of 42352 and 42358 is 2.

GCF(42352,42358) = 2

We will now calculate the prime factors of 42352 and 42358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42352 and 42358.

How to find the GCF of 42352 and 42358?

We will first find the prime factorization of 42352 and 42358. After we will calculate the factors of 42352 and 42358 and find the biggest common factor number .

Step-1: Prime Factorization of 42352

Prime factors of 42352 are 2, 2647. Prime factorization of 42352 in exponential form is:

42352 = 2⁴ × 2647¹

Step-2: Prime Factorization of 42358

Prime factors of 42358 are 2, 21179. Prime factorization of 42358 in exponential form is:

42358 = 2¹ × 21179¹

Step-3: Factors of 42352

List of positive integer factors of 42352 that divides 42352 without a remainder.

1, 2, 4, 8, 16, 2647, 5294, 10588, 21176

Step-4: Factors of 42358

List of positive integer factors of 42358 that divides 42352 without a remainder.

1, 2, 21179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42352 and 42358. The biggest common factor number is the GCF number.
So the greatest common factor 42352 and 42358 is 2.

Also check out the Least Common Multiple of 42352 and 42358