What is the Greatest Common Factor of 78109 and 78122?

Greatest common factor (GCF) of 78109 and 78122 is 1.

GCF(78109,78122) = 1

We will now calculate the prime factors of 78109 and 78122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78109 and 78122.

How to find the GCF of 78109 and 78122?

We will first find the prime factorization of 78109 and 78122. After we will calculate the factors of 78109 and 78122 and find the biggest common factor number .

Step-1: Prime Factorization of 78109

Prime factors of 78109 are 19, 4111. Prime factorization of 78109 in exponential form is:

78109 = 19¹ × 4111¹

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 78109

List of positive integer factors of 78109 that divides 78109 without a remainder.

1, 19, 4111

Step-4: Factors of 78122

List of positive integer factors of 78122 that divides 78109 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 78109 and 78122. The biggest common factor number is the GCF number.
So the greatest common factor 78109 and 78122 is 1.

Also check out the Least Common Multiple of 78109 and 78122