What is the Greatest Common Factor of 42341 and 42352?

Greatest common factor (GCF) of 42341 and 42352 is 1.

GCF(42341,42352) = 1

We will now calculate the prime factors of 42341 and 42352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42341 and 42352.

How to find the GCF of 42341 and 42352?

We will first find the prime factorization of 42341 and 42352. After we will calculate the factors of 42341 and 42352 and find the biggest common factor number .

Step-1: Prime Factorization of 42341

Prime factors of 42341 are 13, 3257. Prime factorization of 42341 in exponential form is:

42341 = 13¹ × 3257¹

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 42341

List of positive integer factors of 42341 that divides 42341 without a remainder.

1, 13, 3257

Step-4: Factors of 42352

List of positive integer factors of 42352 that divides 42341 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 42341 and 42352. The biggest common factor number is the GCF number.
So the greatest common factor 42341 and 42352 is 1.

Also check out the Least Common Multiple of 42341 and 42352