What is the Greatest Common Factor of 77337 and 77353?

Greatest common factor (GCF) of 77337 and 77353 is 1.

GCF(77337,77353) = 1

We will now calculate the prime factors of 77337 and 77353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77337 and 77353.

How to find the GCF of 77337 and 77353?

We will first find the prime factorization of 77337 and 77353. After we will calculate the factors of 77337 and 77353 and find the biggest common factor number .

Step-1: Prime Factorization of 77337

Prime factors of 77337 are 3, 13, 661. Prime factorization of 77337 in exponential form is:

77337 = 3² × 13¹ × 661¹

Step-2: Prime Factorization of 77353

Prime factors of 77353 are 103, 751. Prime factorization of 77353 in exponential form is:

77353 = 103¹ × 751¹

Step-3: Factors of 77337

List of positive integer factors of 77337 that divides 77337 without a remainder.

1, 3, 9, 13, 39, 117, 661, 1983, 5949, 8593, 25779

Step-4: Factors of 77353

List of positive integer factors of 77353 that divides 77337 without a remainder.

1, 103, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77337 and 77353. The biggest common factor number is the GCF number.
So the greatest common factor 77337 and 77353 is 1.

Also check out the Least Common Multiple of 77337 and 77353