What is the Greatest Common Factor of 78144 and 78155?

Greatest common factor (GCF) of 78144 and 78155 is 11.

GCF(78144,78155) = 11

We will now calculate the prime factors of 78144 and 78155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78144 and 78155.

How to find the GCF of 78144 and 78155?

We will first find the prime factorization of 78144 and 78155. After we will calculate the factors of 78144 and 78155 and find the biggest common factor number .

Step-1: Prime Factorization of 78144

Prime factors of 78144 are 2, 3, 11, 37. Prime factorization of 78144 in exponential form is:

78144 = 2⁶ × 3¹ × 11¹ × 37¹

Step-2: Prime Factorization of 78155

Prime factors of 78155 are 5, 7, 11, 29. Prime factorization of 78155 in exponential form is:

78155 = 5¹ × 7² × 11¹ × 29¹

Step-3: Factors of 78144

List of positive integer factors of 78144 that divides 78144 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 37, 44, 48, 64, 66, 74, 88, 96, 111, 132, 148, 176, 192, 222, 264, 296, 352, 407, 444, 528, 592, 704, 814, 888, 1056, 1184, 1221, 1628, 1776, 2112, 2368, 2442, 3256, 3552, 4884, 6512, 7104, 9768, 13024, 19536, 26048, 39072

Step-4: Factors of 78155

List of positive integer factors of 78155 that divides 78144 without a remainder.

1, 5, 7, 11, 29, 35, 49, 55, 77, 145, 203, 245, 319, 385, 539, 1015, 1421, 1595, 2233, 2695, 7105, 11165, 15631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78144 and 78155. The biggest common factor number is the GCF number.
So the greatest common factor 78144 and 78155 is 11.

Also check out the Least Common Multiple of 78144 and 78155