What is the Greatest Common Factor of 24700 and 24704?

Greatest common factor (GCF) of 24700 and 24704 is 4.

GCF(24700,24704) = 4

We will now calculate the prime factors of 24700 and 24704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24700 and 24704.

How to find the GCF of 24700 and 24704?

We will first find the prime factorization of 24700 and 24704. After we will calculate the factors of 24700 and 24704 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24704

Prime factors of 24704 are 2, 193. Prime factorization of 24704 in exponential form is:

24704 = 2⁷ × 193¹

Step-3: Factors of 24700

List of positive integer factors of 24700 that divides 24700 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

Step-4: Factors of 24704

List of positive integer factors of 24704 that divides 24700 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 193, 386, 772, 1544, 3088, 6176, 12352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24700 and 24704. The biggest common factor number is the GCF number.
So the greatest common factor 24700 and 24704 is 4.

Also check out the Least Common Multiple of 24700 and 24704