What is the Greatest Common Factor of 24753 and 24759?

Greatest common factor (GCF) of 24753 and 24759 is 3.

GCF(24753,24759) = 3

We will now calculate the prime factors of 24753 and 24759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24753 and 24759.

How to find the GCF of 24753 and 24759?

We will first find the prime factorization of 24753 and 24759. After we will calculate the factors of 24753 and 24759 and find the biggest common factor number .

Step-1: Prime Factorization of 24753

Prime factors of 24753 are 3, 37, 223. Prime factorization of 24753 in exponential form is:

24753 = 3¹ × 37¹ × 223¹

Step-2: Prime Factorization of 24759

Prime factors of 24759 are 3, 7, 131. Prime factorization of 24759 in exponential form is:

24759 = 3³ × 7¹ × 131¹

Step-3: Factors of 24753

List of positive integer factors of 24753 that divides 24753 without a remainder.

1, 3, 37, 111, 223, 669, 8251

Step-4: Factors of 24759

List of positive integer factors of 24759 that divides 24753 without a remainder.

1, 3, 7, 9, 21, 27, 63, 131, 189, 393, 917, 1179, 2751, 3537, 8253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24753 and 24759. The biggest common factor number is the GCF number.
So the greatest common factor 24753 and 24759 is 3.

Also check out the Least Common Multiple of 24753 and 24759