What is the Greatest Common Factor of 42928 and 42941?

Greatest common factor (GCF) of 42928 and 42941 is 1.

GCF(42928,42941) = 1

We will now calculate the prime factors of 42928 and 42941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42928 and 42941.

How to find the GCF of 42928 and 42941?

We will first find the prime factorization of 42928 and 42941. After we will calculate the factors of 42928 and 42941 and find the biggest common factor number .

Step-1: Prime Factorization of 42928

Prime factors of 42928 are 2, 2683. Prime factorization of 42928 in exponential form is:

42928 = 2⁴ × 2683¹

Step-2: Prime Factorization of 42941

Prime factors of 42941 are 23, 1867. Prime factorization of 42941 in exponential form is:

42941 = 23¹ × 1867¹

Step-3: Factors of 42928

List of positive integer factors of 42928 that divides 42928 without a remainder.

1, 2, 4, 8, 16, 2683, 5366, 10732, 21464

Step-4: Factors of 42941

List of positive integer factors of 42941 that divides 42928 without a remainder.

1, 23, 1867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42928 and 42941. The biggest common factor number is the GCF number.
So the greatest common factor 42928 and 42941 is 1.

Also check out the Least Common Multiple of 42928 and 42941