What is the Greatest Common Factor of 77748 and 77757?

Greatest common factor (GCF) of 77748 and 77757 is 3.

GCF(77748,77757) = 3

We will now calculate the prime factors of 77748 and 77757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77748 and 77757.

How to find the GCF of 77748 and 77757?

We will first find the prime factorization of 77748 and 77757. After we will calculate the factors of 77748 and 77757 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77757

Prime factors of 77757 are 3, 25919. Prime factorization of 77757 in exponential form is:

77757 = 3¹ × 25919¹

Step-3: Factors of 77748

List of positive integer factors of 77748 that divides 77748 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

Step-4: Factors of 77757

List of positive integer factors of 77757 that divides 77748 without a remainder.

1, 3, 25919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77748 and 77757. The biggest common factor number is the GCF number.
So the greatest common factor 77748 and 77757 is 3.

Also check out the Least Common Multiple of 77748 and 77757