What is the Greatest Common Factor of 78130 and 78143?

Greatest common factor (GCF) of 78130 and 78143 is 13.

GCF(78130,78143) = 13

We will now calculate the prime factors of 78130 and 78143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78130 and 78143.

How to find the GCF of 78130 and 78143?

We will first find the prime factorization of 78130 and 78143. After we will calculate the factors of 78130 and 78143 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78143

Prime factors of 78143 are 13, 6011. Prime factorization of 78143 in exponential form is:

78143 = 13¹ × 6011¹

Step-3: Factors of 78130

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

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

Step-4: Factors of 78143

List of positive integer factors of 78143 that divides 78130 without a remainder.

1, 13, 6011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78130 and 78143. The biggest common factor number is the GCF number.
So the greatest common factor 78130 and 78143 is 13.

Also check out the Least Common Multiple of 78130 and 78143