What is the Greatest Common Factor of 24695 and 24700?

Greatest common factor (GCF) of 24695 and 24700 is 5.

GCF(24695,24700) = 5

We will now calculate the prime factors of 24695 and 24700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24695 and 24700.

How to find the GCF of 24695 and 24700?

We will first find the prime factorization of 24695 and 24700. After we will calculate the factors of 24695 and 24700 and find the biggest common factor number .

Step-1: Prime Factorization of 24695

Prime factors of 24695 are 5, 11, 449. Prime factorization of 24695 in exponential form is:

24695 = 5¹ × 11¹ × 449¹

Step-2: Prime Factorization of 24700

Prime factors of 24700 are 2, 5, 13, 19. Prime factorization of 24700 in exponential form is:

24700 = 2² × 5² × 13¹ × 19¹

Step-3: Factors of 24695

List of positive integer factors of 24695 that divides 24695 without a remainder.

1, 5, 11, 55, 449, 2245, 4939

Step-4: Factors of 24700

List of positive integer factors of 24700 that divides 24695 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 25, 26, 38, 50, 52, 65, 76, 95, 100, 130, 190, 247, 260, 325, 380, 475, 494, 650, 950, 988, 1235, 1300, 1900, 2470, 4940, 6175, 12350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24695 and 24700. The biggest common factor number is the GCF number.
So the greatest common factor 24695 and 24700 is 5.

Also check out the Least Common Multiple of 24695 and 24700