What is the Greatest Common Factor of 78063 and 78078?

Greatest common factor (GCF) of 78063 and 78078 is 3.

GCF(78063,78078) = 3

We will now calculate the prime factors of 78063 and 78078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78063 and 78078.

How to find the GCF of 78063 and 78078?

We will first find the prime factorization of 78063 and 78078. After we will calculate the factors of 78063 and 78078 and find the biggest common factor number .

Step-1: Prime Factorization of 78063

Prime factors of 78063 are 3, 26021. Prime factorization of 78063 in exponential form is:

78063 = 3¹ × 26021¹

Step-2: Prime Factorization of 78078

Prime factors of 78078 are 2, 3, 7, 11, 13. Prime factorization of 78078 in exponential form is:

78078 = 2¹ × 3¹ × 7¹ × 11¹ × 13²

Step-3: Factors of 78063

List of positive integer factors of 78063 that divides 78063 without a remainder.

1, 3, 26021

Step-4: Factors of 78078

List of positive integer factors of 78078 that divides 78063 without a remainder.

1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 169, 182, 231, 273, 286, 338, 429, 462, 507, 546, 858, 1001, 1014, 1183, 1859, 2002, 2366, 3003, 3549, 3718, 5577, 6006, 7098, 11154, 13013, 26026, 39039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78063 and 78078. The biggest common factor number is the GCF number.
So the greatest common factor 78063 and 78078 is 3.

Also check out the Least Common Multiple of 78063 and 78078