What is the Greatest Common Factor of 78144 and 78157?

Greatest common factor (GCF) of 78144 and 78157 is 1.

GCF(78144,78157) = 1

We will now calculate the prime factors of 78144 and 78157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78144 and 78157.

How to find the GCF of 78144 and 78157?

We will first find the prime factorization of 78144 and 78157. After we will calculate the factors of 78144 and 78157 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 78157

Prime factors of 78157 are 78157. Prime factorization of 78157 in exponential form is:

78157 = 78157¹

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 78157

List of positive integer factors of 78157 that divides 78144 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78144 and 78157. The biggest common factor number is the GCF number.
So the greatest common factor 78144 and 78157 is 1.

Also check out the Least Common Multiple of 78144 and 78157