What is the Greatest Common Factor of 24680 and 24700?

Greatest common factor (GCF) of 24680 and 24700 is 20.

GCF(24680,24700) = 20

We will now calculate the prime factors of 24680 and 24700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24680 and 24700.

How to find the GCF of 24680 and 24700?

We will first find the prime factorization of 24680 and 24700. After we will calculate the factors of 24680 and 24700 and find the biggest common factor number .

Step-1: Prime Factorization of 24680

Prime factors of 24680 are 2, 5, 617. Prime factorization of 24680 in exponential form is:

24680 = 2³ × 5¹ × 617¹

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 24680

List of positive integer factors of 24680 that divides 24680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 617, 1234, 2468, 3085, 4936, 6170, 12340

Step-4: Factors of 24700

List of positive integer factors of 24700 that divides 24680 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 24680 and 24700. The biggest common factor number is the GCF number.
So the greatest common factor 24680 and 24700 is 20.

Also check out the Least Common Multiple of 24680 and 24700