What is the Greatest Common Factor of 24934 and 24947?

Greatest common factor (GCF) of 24934 and 24947 is 13.

GCF(24934,24947) = 13

We will now calculate the prime factors of 24934 and 24947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24934 and 24947.

How to find the GCF of 24934 and 24947?

We will first find the prime factorization of 24934 and 24947. After we will calculate the factors of 24934 and 24947 and find the biggest common factor number .

Step-1: Prime Factorization of 24934

Prime factors of 24934 are 2, 7, 13, 137. Prime factorization of 24934 in exponential form is:

24934 = 2¹ × 7¹ × 13¹ × 137¹

Step-2: Prime Factorization of 24947

Prime factors of 24947 are 13, 19, 101. Prime factorization of 24947 in exponential form is:

24947 = 13¹ × 19¹ × 101¹

Step-3: Factors of 24934

List of positive integer factors of 24934 that divides 24934 without a remainder.

1, 2, 7, 13, 14, 26, 91, 137, 182, 274, 959, 1781, 1918, 3562, 12467

Step-4: Factors of 24947

List of positive integer factors of 24947 that divides 24934 without a remainder.

1, 13, 19, 101, 247, 1313, 1919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24934 and 24947. The biggest common factor number is the GCF number.
So the greatest common factor 24934 and 24947 is 13.

Also check out the Least Common Multiple of 24934 and 24947