What is the Greatest Common Factor of 24990 and 25000?

Greatest common factor (GCF) of 24990 and 25000 is 10.

GCF(24990,25000) = 10

We will now calculate the prime factors of 24990 and 25000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24990 and 25000.

How to find the GCF of 24990 and 25000?

We will first find the prime factorization of 24990 and 25000. After we will calculate the factors of 24990 and 25000 and find the biggest common factor number .

Step-1: Prime Factorization of 24990

Prime factors of 24990 are 2, 3, 5, 7, 17. Prime factorization of 24990 in exponential form is:

24990 = 2¹ × 3¹ × 5¹ × 7² × 17¹

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 24990

List of positive integer factors of 24990 that divides 24990 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 49, 51, 70, 85, 98, 102, 105, 119, 147, 170, 210, 238, 245, 255, 294, 357, 490, 510, 595, 714, 735, 833, 1190, 1470, 1666, 1785, 2499, 3570, 4165, 4998, 8330, 12495

Step-4: Factors of 25000

List of positive integer factors of 25000 that divides 24990 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 24990 and 25000. The biggest common factor number is the GCF number.
So the greatest common factor 24990 and 25000 is 10.

Also check out the Least Common Multiple of 24990 and 25000