What is the Greatest Common Factor of 42332 and 42352?

Greatest common factor (GCF) of 42332 and 42352 is 4.

GCF(42332,42352) = 4

We will now calculate the prime factors of 42332 and 42352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42332 and 42352.

How to find the GCF of 42332 and 42352?

We will first find the prime factorization of 42332 and 42352. After we will calculate the factors of 42332 and 42352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42352

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

42352 = 2⁴ × 2647¹

Step-3: Factors of 42332

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

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

Step-4: Factors of 42352

List of positive integer factors of 42352 that divides 42332 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42332 and 42352. The biggest common factor number is the GCF number.
So the greatest common factor 42332 and 42352 is 4.

Also check out the Least Common Multiple of 42332 and 42352