What is the Greatest Common Factor of 24765 and 24774?

Greatest common factor (GCF) of 24765 and 24774 is 3.

GCF(24765,24774) = 3

We will now calculate the prime factors of 24765 and 24774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24765 and 24774.

How to find the GCF of 24765 and 24774?

We will first find the prime factorization of 24765 and 24774. After we will calculate the factors of 24765 and 24774 and find the biggest common factor number .

Step-1: Prime Factorization of 24765

Prime factors of 24765 are 3, 5, 13, 127. Prime factorization of 24765 in exponential form is:

24765 = 3¹ × 5¹ × 13¹ × 127¹

Step-2: Prime Factorization of 24774

Prime factors of 24774 are 2, 3, 4129. Prime factorization of 24774 in exponential form is:

24774 = 2¹ × 3¹ × 4129¹

Step-3: Factors of 24765

List of positive integer factors of 24765 that divides 24765 without a remainder.

1, 3, 5, 13, 15, 39, 65, 127, 195, 381, 635, 1651, 1905, 4953, 8255

Step-4: Factors of 24774

List of positive integer factors of 24774 that divides 24765 without a remainder.

1, 2, 3, 6, 4129, 8258, 12387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24765 and 24774. The biggest common factor number is the GCF number.
So the greatest common factor 24765 and 24774 is 3.

Also check out the Least Common Multiple of 24765 and 24774