What is the Greatest Common Factor of 24625 and 24643?

Greatest common factor (GCF) of 24625 and 24643 is 1.

GCF(24625,24643) = 1

We will now calculate the prime factors of 24625 and 24643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24625 and 24643.

How to find the GCF of 24625 and 24643?

We will first find the prime factorization of 24625 and 24643. After we will calculate the factors of 24625 and 24643 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 24643

Prime factors of 24643 are 19, 1297. Prime factorization of 24643 in exponential form is:

24643 = 19¹ × 1297¹

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 24643

List of positive integer factors of 24643 that divides 24625 without a remainder.

1, 19, 1297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24625 and 24643. The biggest common factor number is the GCF number.
So the greatest common factor 24625 and 24643 is 1.

Also check out the Least Common Multiple of 24625 and 24643