What is the Greatest Common Factor of 78078 and 78097?

Greatest common factor (GCF) of 78078 and 78097 is 1.

GCF(78078,78097) = 1

We will now calculate the prime factors of 78078 and 78097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78078 and 78097.

How to find the GCF of 78078 and 78097?

We will first find the prime factorization of 78078 and 78097. After we will calculate the factors of 78078 and 78097 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 78097

Prime factors of 78097 are 29, 2693. Prime factorization of 78097 in exponential form is:

78097 = 29¹ × 2693¹

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 78097

List of positive integer factors of 78097 that divides 78078 without a remainder.

1, 29, 2693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78078 and 78097. The biggest common factor number is the GCF number.
So the greatest common factor 78078 and 78097 is 1.

Also check out the Least Common Multiple of 78078 and 78097