What is the Greatest Common Factor of 24780 and 24792?

Greatest common factor (GCF) of 24780 and 24792 is 12.

GCF(24780,24792) = 12

We will now calculate the prime factors of 24780 and 24792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24780 and 24792.

How to find the GCF of 24780 and 24792?

We will first find the prime factorization of 24780 and 24792. After we will calculate the factors of 24780 and 24792 and find the biggest common factor number .

Step-1: Prime Factorization of 24780

Prime factors of 24780 are 2, 3, 5, 7, 59. Prime factorization of 24780 in exponential form is:

24780 = 2² × 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 24792

Prime factors of 24792 are 2, 3, 1033. Prime factorization of 24792 in exponential form is:

24792 = 2³ × 3¹ × 1033¹

Step-3: Factors of 24780

List of positive integer factors of 24780 that divides 24780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 59, 60, 70, 84, 105, 118, 140, 177, 210, 236, 295, 354, 413, 420, 590, 708, 826, 885, 1180, 1239, 1652, 1770, 2065, 2478, 3540, 4130, 4956, 6195, 8260, 12390

Step-4: Factors of 24792

List of positive integer factors of 24792 that divides 24780 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1033, 2066, 3099, 4132, 6198, 8264, 12396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24780 and 24792. The biggest common factor number is the GCF number.
So the greatest common factor 24780 and 24792 is 12.

Also check out the Least Common Multiple of 24780 and 24792