What is the Greatest Common Factor of 77735 and 77748?

Greatest common factor (GCF) of 77735 and 77748 is 1.

GCF(77735,77748) = 1

We will now calculate the prime factors of 77735 and 77748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77735 and 77748.

How to find the GCF of 77735 and 77748?

We will first find the prime factorization of 77735 and 77748. After we will calculate the factors of 77735 and 77748 and find the biggest common factor number .

Step-1: Prime Factorization of 77735

Prime factors of 77735 are 5, 7, 2221. Prime factorization of 77735 in exponential form is:

77735 = 5¹ × 7¹ × 2221¹

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 77735

List of positive integer factors of 77735 that divides 77735 without a remainder.

1, 5, 7, 35, 2221, 11105, 15547

Step-4: Factors of 77748

List of positive integer factors of 77748 that divides 77735 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 77735 and 77748. The biggest common factor number is the GCF number.
So the greatest common factor 77735 and 77748 is 1.

Also check out the Least Common Multiple of 77735 and 77748