What is the Greatest Common Factor of 24774 and 24786?

Greatest common factor (GCF) of 24774 and 24786 is 6.

GCF(24774,24786) = 6

We will now calculate the prime factors of 24774 and 24786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24774 and 24786.

How to find the GCF of 24774 and 24786?

We will first find the prime factorization of 24774 and 24786. After we will calculate the factors of 24774 and 24786 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 24786

Prime factors of 24786 are 2, 3, 17. Prime factorization of 24786 in exponential form is:

24786 = 2¹ × 3⁶ × 17¹

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 24786

List of positive integer factors of 24786 that divides 24774 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 729, 918, 1377, 1458, 2754, 4131, 8262, 12393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24774 and 24786. The biggest common factor number is the GCF number.
So the greatest common factor 24774 and 24786 is 6.

Also check out the Least Common Multiple of 24774 and 24786