What is the Greatest Common Factor of 24980 and 25000?

Greatest common factor (GCF) of 24980 and 25000 is 20.

GCF(24980,25000) = 20

We will now calculate the prime factors of 24980 and 25000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24980 and 25000.

How to find the GCF of 24980 and 25000?

We will first find the prime factorization of 24980 and 25000. After we will calculate the factors of 24980 and 25000 and find the biggest common factor number .

Step-1: Prime Factorization of 24980

Prime factors of 24980 are 2, 5, 1249. Prime factorization of 24980 in exponential form is:

24980 = 2² × 5¹ × 1249¹

Step-2: Prime Factorization of 25000

Prime factors of 25000 are 2, 5. Prime factorization of 25000 in exponential form is:

25000 = 2³ × 5⁵

Step-3: Factors of 24980

List of positive integer factors of 24980 that divides 24980 without a remainder.

1, 2, 4, 5, 10, 20, 1249, 2498, 4996, 6245, 12490

Step-4: Factors of 25000

List of positive integer factors of 25000 that divides 24980 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 3125, 5000, 6250, 12500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24980 and 25000. The biggest common factor number is the GCF number.
So the greatest common factor 24980 and 25000 is 20.

Also check out the Least Common Multiple of 24980 and 25000