What is the Greatest Common Factor of 24700 and 24705?

Greatest common factor (GCF) of 24700 and 24705 is 5.

GCF(24700,24705) = 5

We will now calculate the prime factors of 24700 and 24705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24700 and 24705.

How to find the GCF of 24700 and 24705?

We will first find the prime factorization of 24700 and 24705. After we will calculate the factors of 24700 and 24705 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 24705

Prime factors of 24705 are 3, 5, 61. Prime factorization of 24705 in exponential form is:

24705 = 3⁴ × 5¹ × 61¹

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 24705

List of positive integer factors of 24705 that divides 24700 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 81, 135, 183, 305, 405, 549, 915, 1647, 2745, 4941, 8235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24700 and 24705. The biggest common factor number is the GCF number.
So the greatest common factor 24700 and 24705 is 5.

Also check out the Least Common Multiple of 24700 and 24705