What is the Greatest Common Factor of 24934 and 24949?

Greatest common factor (GCF) of 24934 and 24949 is 1.

GCF(24934,24949) = 1

We will now calculate the prime factors of 24934 and 24949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24934 and 24949.

How to find the GCF of 24934 and 24949?

We will first find the prime factorization of 24934 and 24949. After we will calculate the factors of 24934 and 24949 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 24949

Prime factors of 24949 are 61, 409. Prime factorization of 24949 in exponential form is:

24949 = 61¹ × 409¹

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 24949

List of positive integer factors of 24949 that divides 24934 without a remainder.

1, 61, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24934 and 24949. The biggest common factor number is the GCF number.
So the greatest common factor 24934 and 24949 is 1.

Also check out the Least Common Multiple of 24934 and 24949