What is the Greatest Common Factor of 42475 and 42491?

Greatest common factor (GCF) of 42475 and 42491 is 1.

GCF(42475,42491) = 1

We will now calculate the prime factors of 42475 and 42491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42475 and 42491.

How to find the GCF of 42475 and 42491?

We will first find the prime factorization of 42475 and 42491. After we will calculate the factors of 42475 and 42491 and find the biggest common factor number .

Step-1: Prime Factorization of 42475

Prime factors of 42475 are 5, 1699. Prime factorization of 42475 in exponential form is:

42475 = 5² × 1699¹

Step-2: Prime Factorization of 42491

Prime factors of 42491 are 42491. Prime factorization of 42491 in exponential form is:

42491 = 42491¹

Step-3: Factors of 42475

List of positive integer factors of 42475 that divides 42475 without a remainder.

1, 5, 25, 1699, 8495

Step-4: Factors of 42491

List of positive integer factors of 42491 that divides 42475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42475 and 42491. The biggest common factor number is the GCF number.
So the greatest common factor 42475 and 42491 is 1.

Also check out the Least Common Multiple of 42475 and 42491