What is the Greatest Common Factor of 77739 and 77748?

Greatest common factor (GCF) of 77739 and 77748 is 3.

GCF(77739,77748) = 3

We will now calculate the prime factors of 77739 and 77748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77739 and 77748.

How to find the GCF of 77739 and 77748?

We will first find the prime factorization of 77739 and 77748. After we will calculate the factors of 77739 and 77748 and find the biggest common factor number .

Step-1: Prime Factorization of 77739

Prime factors of 77739 are 3, 25913. Prime factorization of 77739 in exponential form is:

77739 = 3¹ × 25913¹

Step-2: Prime Factorization of 77748

Prime factors of 77748 are 2, 3, 11, 19, 31. Prime factorization of 77748 in exponential form is:

77748 = 2² × 3¹ × 11¹ × 19¹ × 31¹

Step-3: Factors of 77739

List of positive integer factors of 77739 that divides 77739 without a remainder.

1, 3, 25913

Step-4: Factors of 77748

List of positive integer factors of 77748 that divides 77739 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 31, 33, 38, 44, 57, 62, 66, 76, 93, 114, 124, 132, 186, 209, 228, 341, 372, 418, 589, 627, 682, 836, 1023, 1178, 1254, 1364, 1767, 2046, 2356, 2508, 3534, 4092, 6479, 7068, 12958, 19437, 25916, 38874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77739 and 77748. The biggest common factor number is the GCF number.
So the greatest common factor 77739 and 77748 is 3.

Also check out the Least Common Multiple of 77739 and 77748