What is the Greatest Common Factor of 77654 and 77664?

Greatest common factor (GCF) of 77654 and 77664 is 2.

GCF(77654,77664) = 2

We will now calculate the prime factors of 77654 and 77664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77654 and 77664.

How to find the GCF of 77654 and 77664?

We will first find the prime factorization of 77654 and 77664. After we will calculate the factors of 77654 and 77664 and find the biggest common factor number .

Step-1: Prime Factorization of 77654

Prime factors of 77654 are 2, 41, 947. Prime factorization of 77654 in exponential form is:

77654 = 2¹ × 41¹ × 947¹

Step-2: 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-3: Factors of 77654

List of positive integer factors of 77654 that divides 77654 without a remainder.

1, 2, 41, 82, 947, 1894, 38827

Step-4: Factors of 77664

List of positive integer factors of 77664 that divides 77654 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77654 and 77664. The biggest common factor number is the GCF number.
So the greatest common factor 77654 and 77664 is 2.

Also check out the Least Common Multiple of 77654 and 77664