What is the Greatest Common Factor of 77664 and 77680?

Greatest common factor (GCF) of 77664 and 77680 is 16.

GCF(77664,77680) = 16

We will now calculate the prime factors of 77664 and 77680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77664 and 77680.

How to find the GCF of 77664 and 77680?

We will first find the prime factorization of 77664 and 77680. After we will calculate the factors of 77664 and 77680 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 77680

Prime factors of 77680 are 2, 5, 971. Prime factorization of 77680 in exponential form is:

77680 = 2⁴ × 5¹ × 971¹

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 77680

List of positive integer factors of 77680 that divides 77664 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 971, 1942, 3884, 4855, 7768, 9710, 15536, 19420, 38840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77664 and 77680. The biggest common factor number is the GCF number.
So the greatest common factor 77664 and 77680 is 16.

Also check out the Least Common Multiple of 77664 and 77680