What is the Greatest Common Factor of 42657 and 42667?

Greatest common factor (GCF) of 42657 and 42667 is 1.

GCF(42657,42667) = 1

We will now calculate the prime factors of 42657 and 42667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42657 and 42667.

How to find the GCF of 42657 and 42667?

We will first find the prime factorization of 42657 and 42667. After we will calculate the factors of 42657 and 42667 and find the biggest common factor number .

Step-1: Prime Factorization of 42657

Prime factors of 42657 are 3, 59, 241. Prime factorization of 42657 in exponential form is:

42657 = 3¹ × 59¹ × 241¹

Step-2: Prime Factorization of 42667

Prime factors of 42667 are 42667. Prime factorization of 42667 in exponential form is:

42667 = 42667¹

Step-3: Factors of 42657

List of positive integer factors of 42657 that divides 42657 without a remainder.

1, 3, 59, 177, 241, 723, 14219

Step-4: Factors of 42667

List of positive integer factors of 42667 that divides 42657 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42657 and 42667. The biggest common factor number is the GCF number.
So the greatest common factor 42657 and 42667 is 1.

Also check out the Least Common Multiple of 42657 and 42667