What is the Greatest Common Factor of 24766 and 24773?

Greatest common factor (GCF) of 24766 and 24773 is 7.

GCF(24766,24773) = 7

We will now calculate the prime factors of 24766 and 24773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24766 and 24773.

How to find the GCF of 24766 and 24773?

We will first find the prime factorization of 24766 and 24773. After we will calculate the factors of 24766 and 24773 and find the biggest common factor number .

Step-1: Prime Factorization of 24766

Prime factors of 24766 are 2, 7, 29, 61. Prime factorization of 24766 in exponential form is:

24766 = 2¹ × 7¹ × 29¹ × 61¹

Step-2: Prime Factorization of 24773

Prime factors of 24773 are 7, 3539. Prime factorization of 24773 in exponential form is:

24773 = 7¹ × 3539¹

Step-3: Factors of 24766

List of positive integer factors of 24766 that divides 24766 without a remainder.

1, 2, 7, 14, 29, 58, 61, 122, 203, 406, 427, 854, 1769, 3538, 12383

Step-4: Factors of 24773

List of positive integer factors of 24773 that divides 24766 without a remainder.

1, 7, 3539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24766 and 24773. The biggest common factor number is the GCF number.
So the greatest common factor 24766 and 24773 is 7.

Also check out the Least Common Multiple of 24766 and 24773