What is the Greatest Common Factor of 78115 and 78122?

Greatest common factor (GCF) of 78115 and 78122 is 1.

GCF(78115,78122) = 1

We will now calculate the prime factors of 78115 and 78122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78115 and 78122.

How to find the GCF of 78115 and 78122?

We will first find the prime factorization of 78115 and 78122. After we will calculate the factors of 78115 and 78122 and find the biggest common factor number .

Step-1: Prime Factorization of 78115

Prime factors of 78115 are 5, 17, 919. Prime factorization of 78115 in exponential form is:

78115 = 5¹ × 17¹ × 919¹

Step-2: Prime Factorization of 78122

Prime factors of 78122 are 2, 11, 53, 67. Prime factorization of 78122 in exponential form is:

78122 = 2¹ × 11¹ × 53¹ × 67¹

Step-3: Factors of 78115

List of positive integer factors of 78115 that divides 78115 without a remainder.

1, 5, 17, 85, 919, 4595, 15623

Step-4: Factors of 78122

List of positive integer factors of 78122 that divides 78115 without a remainder.

1, 2, 11, 22, 53, 67, 106, 134, 583, 737, 1166, 1474, 3551, 7102, 39061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78115 and 78122. The biggest common factor number is the GCF number.
So the greatest common factor 78115 and 78122 is 1.

Also check out the Least Common Multiple of 78115 and 78122