What is the Greatest Common Factor of 78110 and 78130?

Greatest common factor (GCF) of 78110 and 78130 is 10.

GCF(78110,78130) = 10

We will now calculate the prime factors of 78110 and 78130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78110 and 78130.

How to find the GCF of 78110 and 78130?

We will first find the prime factorization of 78110 and 78130. After we will calculate the factors of 78110 and 78130 and find the biggest common factor number .

Step-1: Prime Factorization of 78110

Prime factors of 78110 are 2, 5, 73, 107. Prime factorization of 78110 in exponential form is:

78110 = 2¹ × 5¹ × 73¹ × 107¹

Step-2: Prime Factorization of 78130

Prime factors of 78130 are 2, 5, 13, 601. Prime factorization of 78130 in exponential form is:

78130 = 2¹ × 5¹ × 13¹ × 601¹

Step-3: Factors of 78110

List of positive integer factors of 78110 that divides 78110 without a remainder.

1, 2, 5, 10, 73, 107, 146, 214, 365, 535, 730, 1070, 7811, 15622, 39055

Step-4: Factors of 78130

List of positive integer factors of 78130 that divides 78110 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 601, 1202, 3005, 6010, 7813, 15626, 39065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78110 and 78130. The biggest common factor number is the GCF number.
So the greatest common factor 78110 and 78130 is 10.

Also check out the Least Common Multiple of 78110 and 78130