What is the Greatest Common Factor of 77664 and 77683?

Greatest common factor (GCF) of 77664 and 77683 is 1.

GCF(77664,77683) = 1

We will now calculate the prime factors of 77664 and 77683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77664 and 77683.

How to find the GCF of 77664 and 77683?

We will first find the prime factorization of 77664 and 77683. After we will calculate the factors of 77664 and 77683 and find the biggest common factor number .

Step-1: Prime Factorization of 77664

Prime factors of 77664 are 2, 3, 809. Prime factorization of 77664 in exponential form is:

77664 = 2⁵ × 3¹ × 809¹

Step-2: Prime Factorization of 77683

Prime factors of 77683 are 131, 593. Prime factorization of 77683 in exponential form is:

77683 = 131¹ × 593¹

Step-3: Factors of 77664

List of positive integer factors of 77664 that divides 77664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 809, 1618, 2427, 3236, 4854, 6472, 9708, 12944, 19416, 25888, 38832

Step-4: Factors of 77683

List of positive integer factors of 77683 that divides 77664 without a remainder.

1, 131, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77664 and 77683. The biggest common factor number is the GCF number.
So the greatest common factor 77664 and 77683 is 1.

Also check out the Least Common Multiple of 77664 and 77683