What is the Greatest Common Factor of 24778 and 24791?

Greatest common factor (GCF) of 24778 and 24791 is 13.

GCF(24778,24791) = 13

We will now calculate the prime factors of 24778 and 24791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24778 and 24791.

How to find the GCF of 24778 and 24791?

We will first find the prime factorization of 24778 and 24791. After we will calculate the factors of 24778 and 24791 and find the biggest common factor number .

Step-1: Prime Factorization of 24778

Prime factors of 24778 are 2, 13, 953. Prime factorization of 24778 in exponential form is:

24778 = 2¹ × 13¹ × 953¹

Step-2: Prime Factorization of 24791

Prime factors of 24791 are 13, 1907. Prime factorization of 24791 in exponential form is:

24791 = 13¹ × 1907¹

Step-3: Factors of 24778

List of positive integer factors of 24778 that divides 24778 without a remainder.

1, 2, 13, 26, 953, 1906, 12389

Step-4: Factors of 24791

List of positive integer factors of 24791 that divides 24778 without a remainder.

1, 13, 1907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24778 and 24791. The biggest common factor number is the GCF number.
So the greatest common factor 24778 and 24791 is 13.

Also check out the Least Common Multiple of 24778 and 24791