What is the Greatest Common Factor of 77085 and 77097?

Greatest common factor (GCF) of 77085 and 77097 is 3.

GCF(77085,77097) = 3

We will now calculate the prime factors of 77085 and 77097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77085 and 77097.

How to find the GCF of 77085 and 77097?

We will first find the prime factorization of 77085 and 77097. After we will calculate the factors of 77085 and 77097 and find the biggest common factor number .

Step-1: Prime Factorization of 77085

Prime factors of 77085 are 3, 5, 571. Prime factorization of 77085 in exponential form is:

77085 = 3³ × 5¹ × 571¹

Step-2: Prime Factorization of 77097

Prime factors of 77097 are 3, 31, 829. Prime factorization of 77097 in exponential form is:

77097 = 3¹ × 31¹ × 829¹

Step-3: Factors of 77085

List of positive integer factors of 77085 that divides 77085 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 571, 1713, 2855, 5139, 8565, 15417, 25695

Step-4: Factors of 77097

List of positive integer factors of 77097 that divides 77085 without a remainder.

1, 3, 31, 93, 829, 2487, 25699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77085 and 77097. The biggest common factor number is the GCF number.
So the greatest common factor 77085 and 77097 is 3.

Also check out the Least Common Multiple of 77085 and 77097