What is the Greatest Common Factor of 24741 and 24761?

Greatest common factor (GCF) of 24741 and 24761 is 1.

GCF(24741,24761) = 1

We will now calculate the prime factors of 24741 and 24761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24741 and 24761.

How to find the GCF of 24741 and 24761?

We will first find the prime factorization of 24741 and 24761. After we will calculate the factors of 24741 and 24761 and find the biggest common factor number .

Step-1: Prime Factorization of 24741

Prime factors of 24741 are 3, 2749. Prime factorization of 24741 in exponential form is:

24741 = 3² × 2749¹

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 24741

List of positive integer factors of 24741 that divides 24741 without a remainder.

1, 3, 9, 2749, 8247

Step-4: Factors of 24761

List of positive integer factors of 24761 that divides 24741 without a remainder.

1, 11, 2251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24741 and 24761. The biggest common factor number is the GCF number.
So the greatest common factor 24741 and 24761 is 1.

Also check out the Least Common Multiple of 24741 and 24761