What is the Greatest Common Factor of 42625 and 42633?

Greatest common factor (GCF) of 42625 and 42633 is 1.

GCF(42625,42633) = 1

We will now calculate the prime factors of 42625 and 42633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42625 and 42633.

How to find the GCF of 42625 and 42633?

We will first find the prime factorization of 42625 and 42633. After we will calculate the factors of 42625 and 42633 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 42633

Prime factors of 42633 are 3, 1579. Prime factorization of 42633 in exponential form is:

42633 = 3³ × 1579¹

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 42633

List of positive integer factors of 42633 that divides 42625 without a remainder.

1, 3, 9, 27, 1579, 4737, 14211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42625 and 42633. The biggest common factor number is the GCF number.
So the greatest common factor 42625 and 42633 is 1.

Also check out the Least Common Multiple of 42625 and 42633