What is the Greatest Common Factor of 24926 and 24938?

Greatest common factor (GCF) of 24926 and 24938 is 2.

GCF(24926,24938) = 2

We will now calculate the prime factors of 24926 and 24938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24926 and 24938.

How to find the GCF of 24926 and 24938?

We will first find the prime factorization of 24926 and 24938. After we will calculate the factors of 24926 and 24938 and find the biggest common factor number .

Step-1: Prime Factorization of 24926

Prime factors of 24926 are 2, 11, 103. Prime factorization of 24926 in exponential form is:

24926 = 2¹ × 11² × 103¹

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 24926

List of positive integer factors of 24926 that divides 24926 without a remainder.

1, 2, 11, 22, 103, 121, 206, 242, 1133, 2266, 12463

Step-4: Factors of 24938

List of positive integer factors of 24938 that divides 24926 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24926 and 24938. The biggest common factor number is the GCF number.
So the greatest common factor 24926 and 24938 is 2.

Also check out the Least Common Multiple of 24926 and 24938