What is the Greatest Common Factor of 24500 and 24512?

Greatest common factor (GCF) of 24500 and 24512 is 4.

GCF(24500,24512) = 4

We will now calculate the prime factors of 24500 and 24512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24500 and 24512.

How to find the GCF of 24500 and 24512?

We will first find the prime factorization of 24500 and 24512. After we will calculate the factors of 24500 and 24512 and find the biggest common factor number .

Step-1: Prime Factorization of 24500

Prime factors of 24500 are 2, 5, 7. Prime factorization of 24500 in exponential form is:

24500 = 2² × 5³ × 7²

Step-2: Prime Factorization of 24512

Prime factors of 24512 are 2, 383. Prime factorization of 24512 in exponential form is:

24512 = 2⁶ × 383¹

Step-3: Factors of 24500

List of positive integer factors of 24500 that divides 24500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250

Step-4: Factors of 24512

List of positive integer factors of 24512 that divides 24500 without a remainder.

1, 2, 4, 8, 16, 32, 64, 383, 766, 1532, 3064, 6128, 12256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24500 and 24512. The biggest common factor number is the GCF number.
So the greatest common factor 24500 and 24512 is 4.

Also check out the Least Common Multiple of 24500 and 24512