What is the Greatest Common Factor of 77598 and 77617?

Greatest common factor (GCF) of 77598 and 77617 is 1.

GCF(77598,77617) = 1

We will now calculate the prime factors of 77598 and 77617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77598 and 77617.

How to find the GCF of 77598 and 77617?

We will first find the prime factorization of 77598 and 77617. After we will calculate the factors of 77598 and 77617 and find the biggest common factor number .

Step-1: Prime Factorization of 77598

Prime factors of 77598 are 2, 3, 479. Prime factorization of 77598 in exponential form is:

77598 = 2¹ × 3⁴ × 479¹

Step-2: Prime Factorization of 77617

Prime factors of 77617 are 77617. Prime factorization of 77617 in exponential form is:

77617 = 77617¹

Step-3: Factors of 77598

List of positive integer factors of 77598 that divides 77598 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 479, 958, 1437, 2874, 4311, 8622, 12933, 25866, 38799

Step-4: Factors of 77617

List of positive integer factors of 77617 that divides 77598 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77598 and 77617. The biggest common factor number is the GCF number.
So the greatest common factor 77598 and 77617 is 1.

Also check out the Least Common Multiple of 77598 and 77617