What is the Greatest Common Factor of 77748 and 77765?

Greatest common factor (GCF) of 77748 and 77765 is 1.

GCF(77748,77765) = 1

We will now calculate the prime factors of 77748 and 77765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77748 and 77765.

How to find the GCF of 77748 and 77765?

We will first find the prime factorization of 77748 and 77765. After we will calculate the factors of 77748 and 77765 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 77765

Prime factors of 77765 are 5, 103, 151. Prime factorization of 77765 in exponential form is:

77765 = 5¹ × 103¹ × 151¹

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 77765

List of positive integer factors of 77765 that divides 77748 without a remainder.

1, 5, 103, 151, 515, 755, 15553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77748 and 77765. The biggest common factor number is the GCF number.
So the greatest common factor 77748 and 77765 is 1.

Also check out the Least Common Multiple of 77748 and 77765