What is the Greatest Common Factor of 24753 and 24761?

Greatest common factor (GCF) of 24753 and 24761 is 1.

GCF(24753,24761) = 1

We will now calculate the prime factors of 24753 and 24761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24753 and 24761.

How to find the GCF of 24753 and 24761?

We will first find the prime factorization of 24753 and 24761. After we will calculate the factors of 24753 and 24761 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 24761

Prime factors of 24761 are 11, 2251. Prime factorization of 24761 in exponential form is:

24761 = 11¹ × 2251¹

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 24761

List of positive integer factors of 24761 that divides 24753 without a remainder.

1, 11, 2251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24753 and 24761. The biggest common factor number is the GCF number.
So the greatest common factor 24753 and 24761 is 1.

Also check out the Least Common Multiple of 24753 and 24761