What is the Greatest Common Factor of 42314 and 42332?

Greatest common factor (GCF) of 42314 and 42332 is 2.

GCF(42314,42332) = 2

We will now calculate the prime factors of 42314 and 42332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42314 and 42332.

How to find the GCF of 42314 and 42332?

We will first find the prime factorization of 42314 and 42332. After we will calculate the factors of 42314 and 42332 and find the biggest common factor number .

Step-1: Prime Factorization of 42314

Prime factors of 42314 are 2, 21157. Prime factorization of 42314 in exponential form is:

42314 = 2¹ × 21157¹

Step-2: Prime Factorization of 42332

Prime factors of 42332 are 2, 19, 557. Prime factorization of 42332 in exponential form is:

42332 = 2² × 19¹ × 557¹

Step-3: Factors of 42314

List of positive integer factors of 42314 that divides 42314 without a remainder.

1, 2, 21157

Step-4: Factors of 42332

List of positive integer factors of 42332 that divides 42314 without a remainder.

1, 2, 4, 19, 38, 76, 557, 1114, 2228, 10583, 21166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42314 and 42332. The biggest common factor number is the GCF number.
So the greatest common factor 42314 and 42332 is 2.

Also check out the Least Common Multiple of 42314 and 42332