What is the Greatest Common Factor of 24690 and 24700?

Greatest common factor (GCF) of 24690 and 24700 is 10.

GCF(24690,24700) = 10

We will now calculate the prime factors of 24690 and 24700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24690 and 24700.

How to find the GCF of 24690 and 24700?

We will first find the prime factorization of 24690 and 24700. After we will calculate the factors of 24690 and 24700 and find the biggest common factor number .

Step-1: Prime Factorization of 24690

Prime factors of 24690 are 2, 3, 5, 823. Prime factorization of 24690 in exponential form is:

24690 = 2¹ × 3¹ × 5¹ × 823¹

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 24690

List of positive integer factors of 24690 that divides 24690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 823, 1646, 2469, 4115, 4938, 8230, 12345

Step-4: Factors of 24700

List of positive integer factors of 24700 that divides 24690 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 24690 and 24700. The biggest common factor number is the GCF number.
So the greatest common factor 24690 and 24700 is 10.

Also check out the Least Common Multiple of 24690 and 24700