What is the Greatest Common Factor of 24927 and 24938?

Greatest common factor (GCF) of 24927 and 24938 is 1.

GCF(24927,24938) = 1

We will now calculate the prime factors of 24927 and 24938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24927 and 24938.

How to find the GCF of 24927 and 24938?

We will first find the prime factorization of 24927 and 24938. After we will calculate the factors of 24927 and 24938 and find the biggest common factor number .

Step-1: Prime Factorization of 24927

Prime factors of 24927 are 3, 7, 1187. Prime factorization of 24927 in exponential form is:

24927 = 3¹ × 7¹ × 1187¹

Step-2: Prime Factorization of 24938

Prime factors of 24938 are 2, 37, 337. Prime factorization of 24938 in exponential form is:

24938 = 2¹ × 37¹ × 337¹

Step-3: Factors of 24927

List of positive integer factors of 24927 that divides 24927 without a remainder.

1, 3, 7, 21, 1187, 3561, 8309

Step-4: Factors of 24938

List of positive integer factors of 24938 that divides 24927 without a remainder.

1, 2, 37, 74, 337, 674, 12469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24927 and 24938. The biggest common factor number is the GCF number.
So the greatest common factor 24927 and 24938 is 1.

Also check out the Least Common Multiple of 24927 and 24938