What is the Greatest Common Factor of 77328 and 77346?

Greatest common factor (GCF) of 77328 and 77346 is 18.

GCF(77328,77346) = 18

We will now calculate the prime factors of 77328 and 77346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77328 and 77346.

How to find the GCF of 77328 and 77346?

We will first find the prime factorization of 77328 and 77346. After we will calculate the factors of 77328 and 77346 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 77346

Prime factors of 77346 are 2, 3, 4297. Prime factorization of 77346 in exponential form is:

77346 = 2¹ × 3² × 4297¹

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 77346

List of positive integer factors of 77346 that divides 77328 without a remainder.

1, 2, 3, 6, 9, 18, 4297, 8594, 12891, 25782, 38673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77328 and 77346. The biggest common factor number is the GCF number.
So the greatest common factor 77328 and 77346 is 18.

Also check out the Least Common Multiple of 77328 and 77346