What is the Greatest Common Factor of 78108 and 78113?

Greatest common factor (GCF) of 78108 and 78113 is 1.

GCF(78108,78113) = 1

We will now calculate the prime factors of 78108 and 78113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78108 and 78113.

How to find the GCF of 78108 and 78113?

We will first find the prime factorization of 78108 and 78113. After we will calculate the factors of 78108 and 78113 and find the biggest common factor number .

Step-1: Prime Factorization of 78108

Prime factors of 78108 are 2, 3, 23, 283. Prime factorization of 78108 in exponential form is:

78108 = 2² × 3¹ × 23¹ × 283¹

Step-2: Prime Factorization of 78113

Prime factors of 78113 are 7, 11159. Prime factorization of 78113 in exponential form is:

78113 = 7¹ × 11159¹

Step-3: Factors of 78108

List of positive integer factors of 78108 that divides 78108 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 283, 566, 849, 1132, 1698, 3396, 6509, 13018, 19527, 26036, 39054

Step-4: Factors of 78113

List of positive integer factors of 78113 that divides 78108 without a remainder.

1, 7, 11159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78108 and 78113. The biggest common factor number is the GCF number.
So the greatest common factor 78108 and 78113 is 1.

Also check out the Least Common Multiple of 78108 and 78113