What is the Greatest Common Factor of 78144 and 78153?

Greatest common factor (GCF) of 78144 and 78153 is 3.

GCF(78144,78153) = 3

We will now calculate the prime factors of 78144 and 78153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78144 and 78153.

How to find the GCF of 78144 and 78153?

We will first find the prime factorization of 78144 and 78153. After we will calculate the factors of 78144 and 78153 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 78153

Prime factors of 78153 are 3, 109, 239. Prime factorization of 78153 in exponential form is:

78153 = 3¹ × 109¹ × 239¹

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 78153

List of positive integer factors of 78153 that divides 78144 without a remainder.

1, 3, 109, 239, 327, 717, 26051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78144 and 78153. The biggest common factor number is the GCF number.
So the greatest common factor 78144 and 78153 is 3.

Also check out the Least Common Multiple of 78144 and 78153