What is the Greatest Common Factor of 78078 and 78092?

Greatest common factor (GCF) of 78078 and 78092 is 14.

GCF(78078,78092) = 14

We will now calculate the prime factors of 78078 and 78092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78078 and 78092.

How to find the GCF of 78078 and 78092?

We will first find the prime factorization of 78078 and 78092. After we will calculate the factors of 78078 and 78092 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78092

Prime factors of 78092 are 2, 7, 2789. Prime factorization of 78092 in exponential form is:

78092 = 2² × 7¹ × 2789¹

Step-3: Factors of 78078

List of positive integer factors of 78078 that divides 78078 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

Step-4: Factors of 78092

List of positive integer factors of 78092 that divides 78078 without a remainder.

1, 2, 4, 7, 14, 28, 2789, 5578, 11156, 19523, 39046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78078 and 78092. The biggest common factor number is the GCF number.
So the greatest common factor 78078 and 78092 is 14.

Also check out the Least Common Multiple of 78078 and 78092