What is the Greatest Common Factor of 24769 and 24774?

Greatest common factor (GCF) of 24769 and 24774 is 1.

GCF(24769,24774) = 1

We will now calculate the prime factors of 24769 and 24774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24769 and 24774.

How to find the GCF of 24769 and 24774?

We will first find the prime factorization of 24769 and 24774. After we will calculate the factors of 24769 and 24774 and find the biggest common factor number .

Step-1: Prime Factorization of 24769

Prime factors of 24769 are 17, 31, 47. Prime factorization of 24769 in exponential form is:

24769 = 17¹ × 31¹ × 47¹

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 24769

List of positive integer factors of 24769 that divides 24769 without a remainder.

1, 17, 31, 47, 527, 799, 1457

Step-4: Factors of 24774

List of positive integer factors of 24774 that divides 24769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24769 and 24774. The biggest common factor number is the GCF number.
So the greatest common factor 24769 and 24774 is 1.

Also check out the Least Common Multiple of 24769 and 24774