What is the Greatest Common Factor of 24921 and 24934?

Greatest common factor (GCF) of 24921 and 24934 is 13.

GCF(24921,24934) = 13

We will now calculate the prime factors of 24921 and 24934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24921 and 24934.

How to find the GCF of 24921 and 24934?

We will first find the prime factorization of 24921 and 24934. After we will calculate the factors of 24921 and 24934 and find the biggest common factor number .

Step-1: Prime Factorization of 24921

Prime factors of 24921 are 3, 13, 71. Prime factorization of 24921 in exponential form is:

24921 = 3³ × 13¹ × 71¹

Step-2: 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-3: Factors of 24921

List of positive integer factors of 24921 that divides 24921 without a remainder.

1, 3, 9, 13, 27, 39, 71, 117, 213, 351, 639, 923, 1917, 2769, 8307

Step-4: Factors of 24934

List of positive integer factors of 24934 that divides 24921 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24921 and 24934. The biggest common factor number is the GCF number.
So the greatest common factor 24921 and 24934 is 13.

Also check out the Least Common Multiple of 24921 and 24934