What is the Greatest Common Factor of 24675 and 24687?

Greatest common factor (GCF) of 24675 and 24687 is 3.

GCF(24675,24687) = 3

We will now calculate the prime factors of 24675 and 24687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24675 and 24687.

How to find the GCF of 24675 and 24687?

We will first find the prime factorization of 24675 and 24687. After we will calculate the factors of 24675 and 24687 and find the biggest common factor number .

Step-1: Prime Factorization of 24675

Prime factors of 24675 are 3, 5, 7, 47. Prime factorization of 24675 in exponential form is:

24675 = 3¹ × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 24687

Prime factors of 24687 are 3, 13, 211. Prime factorization of 24687 in exponential form is:

24687 = 3² × 13¹ × 211¹

Step-3: Factors of 24675

List of positive integer factors of 24675 that divides 24675 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 47, 75, 105, 141, 175, 235, 329, 525, 705, 987, 1175, 1645, 3525, 4935, 8225

Step-4: Factors of 24687

List of positive integer factors of 24687 that divides 24675 without a remainder.

1, 3, 9, 13, 39, 117, 211, 633, 1899, 2743, 8229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24675 and 24687. The biggest common factor number is the GCF number.
So the greatest common factor 24675 and 24687 is 3.

Also check out the Least Common Multiple of 24675 and 24687