What is the Greatest Common Factor of 24700 and 24709?

Greatest common factor (GCF) of 24700 and 24709 is 1.

GCF(24700,24709) = 1

We will now calculate the prime factors of 24700 and 24709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24700 and 24709.

How to find the GCF of 24700 and 24709?

We will first find the prime factorization of 24700 and 24709. After we will calculate the factors of 24700 and 24709 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 24709

Prime factors of 24709 are 24709. Prime factorization of 24709 in exponential form is:

24709 = 24709¹

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 24709

List of positive integer factors of 24709 that divides 24700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24700 and 24709. The biggest common factor number is the GCF number.
So the greatest common factor 24700 and 24709 is 1.

Also check out the Least Common Multiple of 24700 and 24709