What is the Greatest Common Factor of 24774 and 24781?

Greatest common factor (GCF) of 24774 and 24781 is 1.

GCF(24774,24781) = 1

We will now calculate the prime factors of 24774 and 24781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24774 and 24781.

How to find the GCF of 24774 and 24781?

We will first find the prime factorization of 24774 and 24781. After we will calculate the factors of 24774 and 24781 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24781

Prime factors of 24781 are 24781. Prime factorization of 24781 in exponential form is:

24781 = 24781¹

Step-3: Factors of 24774

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

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

Step-4: Factors of 24781

List of positive integer factors of 24781 that divides 24774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24774 and 24781. The biggest common factor number is the GCF number.
So the greatest common factor 24774 and 24781 is 1.

Also check out the Least Common Multiple of 24774 and 24781