What is the Greatest Common Factor of 77735 and 77749?

Greatest common factor (GCF) of 77735 and 77749 is 7.

GCF(77735,77749) = 7

We will now calculate the prime factors of 77735 and 77749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77735 and 77749.

How to find the GCF of 77735 and 77749?

We will first find the prime factorization of 77735 and 77749. After we will calculate the factors of 77735 and 77749 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 77749

Prime factors of 77749 are 7, 29, 383. Prime factorization of 77749 in exponential form is:

77749 = 7¹ × 29¹ × 383¹

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 77749

List of positive integer factors of 77749 that divides 77735 without a remainder.

1, 7, 29, 203, 383, 2681, 11107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77735 and 77749. The biggest common factor number is the GCF number.
So the greatest common factor 77735 and 77749 is 7.

Also check out the Least Common Multiple of 77735 and 77749