What is the Greatest Common Factor of 77328 and 77344?

Greatest common factor (GCF) of 77328 and 77344 is 16.

GCF(77328,77344) = 16

We will now calculate the prime factors of 77328 and 77344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77328 and 77344.

How to find the GCF of 77328 and 77344?

We will first find the prime factorization of 77328 and 77344. After we will calculate the factors of 77328 and 77344 and find the biggest common factor number .

Step-1: Prime Factorization of 77328

Prime factors of 77328 are 2, 3, 179. Prime factorization of 77328 in exponential form is:

77328 = 2⁴ × 3³ × 179¹

Step-2: Prime Factorization of 77344

Prime factors of 77344 are 2, 2417. Prime factorization of 77344 in exponential form is:

77344 = 2⁵ × 2417¹

Step-3: Factors of 77328

List of positive integer factors of 77328 that divides 77328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 179, 216, 358, 432, 537, 716, 1074, 1432, 1611, 2148, 2864, 3222, 4296, 4833, 6444, 8592, 9666, 12888, 19332, 25776, 38664

Step-4: Factors of 77344

List of positive integer factors of 77344 that divides 77328 without a remainder.

1, 2, 4, 8, 16, 32, 2417, 4834, 9668, 19336, 38672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77328 and 77344. The biggest common factor number is the GCF number.
So the greatest common factor 77328 and 77344 is 16.

Also check out the Least Common Multiple of 77328 and 77344