What is the Greatest Common Factor of 77729 and 77748?

Greatest common factor (GCF) of 77729 and 77748 is 19.

GCF(77729,77748) = 19

We will now calculate the prime factors of 77729 and 77748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77729 and 77748.

How to find the GCF of 77729 and 77748?

We will first find the prime factorization of 77729 and 77748. After we will calculate the factors of 77729 and 77748 and find the biggest common factor number .

Step-1: Prime Factorization of 77729

Prime factors of 77729 are 19, 4091. Prime factorization of 77729 in exponential form is:

77729 = 19¹ × 4091¹

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 77729

List of positive integer factors of 77729 that divides 77729 without a remainder.

1, 19, 4091

Step-4: Factors of 77748

List of positive integer factors of 77748 that divides 77729 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 77729 and 77748. The biggest common factor number is the GCF number.
So the greatest common factor 77729 and 77748 is 19.

Also check out the Least Common Multiple of 77729 and 77748