What is the Greatest Common Factor of 42625 and 42641?

Greatest common factor (GCF) of 42625 and 42641 is 1.

GCF(42625,42641) = 1

We will now calculate the prime factors of 42625 and 42641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42625 and 42641.

How to find the GCF of 42625 and 42641?

We will first find the prime factorization of 42625 and 42641. After we will calculate the factors of 42625 and 42641 and find the biggest common factor number .

Step-1: Prime Factorization of 42625

Prime factors of 42625 are 5, 11, 31. Prime factorization of 42625 in exponential form is:

42625 = 5³ × 11¹ × 31¹

Step-2: Prime Factorization of 42641

Prime factors of 42641 are 42641. Prime factorization of 42641 in exponential form is:

42641 = 42641¹

Step-3: Factors of 42625

List of positive integer factors of 42625 that divides 42625 without a remainder.

1, 5, 11, 25, 31, 55, 125, 155, 275, 341, 775, 1375, 1705, 3875, 8525

Step-4: Factors of 42641

List of positive integer factors of 42641 that divides 42625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42625 and 42641. The biggest common factor number is the GCF number.
So the greatest common factor 42625 and 42641 is 1.

Also check out the Least Common Multiple of 42625 and 42641