What is the Greatest Common Factor of 24625 and 24637?

Greatest common factor (GCF) of 24625 and 24637 is 1.

GCF(24625,24637) = 1

We will now calculate the prime factors of 24625 and 24637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24625 and 24637.

How to find the GCF of 24625 and 24637?

We will first find the prime factorization of 24625 and 24637. After we will calculate the factors of 24625 and 24637 and find the biggest common factor number .

Step-1: Prime Factorization of 24625

Prime factors of 24625 are 5, 197. Prime factorization of 24625 in exponential form is:

24625 = 5³ × 197¹

Step-2: Prime Factorization of 24637

Prime factors of 24637 are 71, 347. Prime factorization of 24637 in exponential form is:

24637 = 71¹ × 347¹

Step-3: Factors of 24625

List of positive integer factors of 24625 that divides 24625 without a remainder.

1, 5, 25, 125, 197, 985, 4925

Step-4: Factors of 24637

List of positive integer factors of 24637 that divides 24625 without a remainder.

1, 71, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24625 and 24637. The biggest common factor number is the GCF number.
So the greatest common factor 24625 and 24637 is 1.

Also check out the Least Common Multiple of 24625 and 24637