What is the Greatest Common Factor of 77721 and 77735?

Greatest common factor (GCF) of 77721 and 77735 is 7.

GCF(77721,77735) = 7

We will now calculate the prime factors of 77721 and 77735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77721 and 77735.

How to find the GCF of 77721 and 77735?

We will first find the prime factorization of 77721 and 77735. After we will calculate the factors of 77721 and 77735 and find the biggest common factor number .

Step-1: Prime Factorization of 77721

Prime factors of 77721 are 3, 7, 3701. Prime factorization of 77721 in exponential form is:

77721 = 3¹ × 7¹ × 3701¹

Step-2: 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-3: Factors of 77721

List of positive integer factors of 77721 that divides 77721 without a remainder.

1, 3, 7, 21, 3701, 11103, 25907

Step-4: Factors of 77735

List of positive integer factors of 77735 that divides 77721 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77721 and 77735. The biggest common factor number is the GCF number.
So the greatest common factor 77721 and 77735 is 7.

Also check out the Least Common Multiple of 77721 and 77735