What is the Greatest Common Factor of 42925 and 42937?

Greatest common factor (GCF) of 42925 and 42937 is 1.

GCF(42925,42937) = 1

We will now calculate the prime factors of 42925 and 42937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42925 and 42937.

How to find the GCF of 42925 and 42937?

We will first find the prime factorization of 42925 and 42937. After we will calculate the factors of 42925 and 42937 and find the biggest common factor number .

Step-1: Prime Factorization of 42925

Prime factors of 42925 are 5, 17, 101. Prime factorization of 42925 in exponential form is:

42925 = 5² × 17¹ × 101¹

Step-2: Prime Factorization of 42937

Prime factors of 42937 are 42937. Prime factorization of 42937 in exponential form is:

42937 = 42937¹

Step-3: Factors of 42925

List of positive integer factors of 42925 that divides 42925 without a remainder.

1, 5, 17, 25, 85, 101, 425, 505, 1717, 2525, 8585

Step-4: Factors of 42937

List of positive integer factors of 42937 that divides 42925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42925 and 42937. The biggest common factor number is the GCF number.
So the greatest common factor 42925 and 42937 is 1.

Also check out the Least Common Multiple of 42925 and 42937