What is the Greatest Common Factor of 78098 and 78106?

Greatest common factor (GCF) of 78098 and 78106 is 2.

GCF(78098,78106) = 2

We will now calculate the prime factors of 78098 and 78106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78098 and 78106.

How to find the GCF of 78098 and 78106?

We will first find the prime factorization of 78098 and 78106. After we will calculate the factors of 78098 and 78106 and find the biggest common factor number .

Step-1: Prime Factorization of 78098

Prime factors of 78098 are 2, 17, 2297. Prime factorization of 78098 in exponential form is:

78098 = 2¹ × 17¹ × 2297¹

Step-2: Prime Factorization of 78106

Prime factors of 78106 are 2, 7, 797. Prime factorization of 78106 in exponential form is:

78106 = 2¹ × 7² × 797¹

Step-3: Factors of 78098

List of positive integer factors of 78098 that divides 78098 without a remainder.

1, 2, 17, 34, 2297, 4594, 39049

Step-4: Factors of 78106

List of positive integer factors of 78106 that divides 78098 without a remainder.

1, 2, 7, 14, 49, 98, 797, 1594, 5579, 11158, 39053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78098 and 78106. The biggest common factor number is the GCF number.
So the greatest common factor 78098 and 78106 is 2.

Also check out the Least Common Multiple of 78098 and 78106