What is the Greatest Common Factor of 24700 and 24712?

Greatest common factor (GCF) of 24700 and 24712 is 4.

GCF(24700,24712) = 4

We will now calculate the prime factors of 24700 and 24712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24700 and 24712.

How to find the GCF of 24700 and 24712?

We will first find the prime factorization of 24700 and 24712. After we will calculate the factors of 24700 and 24712 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 24712

Prime factors of 24712 are 2, 3089. Prime factorization of 24712 in exponential form is:

24712 = 2³ × 3089¹

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 24712

List of positive integer factors of 24712 that divides 24700 without a remainder.

1, 2, 4, 8, 3089, 6178, 12356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24700 and 24712. The biggest common factor number is the GCF number.
So the greatest common factor 24700 and 24712 is 4.

Also check out the Least Common Multiple of 24700 and 24712