What is the Greatest Common Factor of 78102 and 78107?

Greatest common factor (GCF) of 78102 and 78107 is 1.

GCF(78102,78107) = 1

We will now calculate the prime factors of 78102 and 78107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78102 and 78107.

How to find the GCF of 78102 and 78107?

We will first find the prime factorization of 78102 and 78107. After we will calculate the factors of 78102 and 78107 and find the biggest common factor number .

Step-1: Prime Factorization of 78102

Prime factors of 78102 are 2, 3, 4339. Prime factorization of 78102 in exponential form is:

78102 = 2¹ × 3² × 4339¹

Step-2: Prime Factorization of 78107

Prime factors of 78107 are 37, 2111. Prime factorization of 78107 in exponential form is:

78107 = 37¹ × 2111¹

Step-3: Factors of 78102

List of positive integer factors of 78102 that divides 78102 without a remainder.

1, 2, 3, 6, 9, 18, 4339, 8678, 13017, 26034, 39051

Step-4: Factors of 78107

List of positive integer factors of 78107 that divides 78102 without a remainder.

1, 37, 2111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78102 and 78107. The biggest common factor number is the GCF number.
So the greatest common factor 78102 and 78107 is 1.

Also check out the Least Common Multiple of 78102 and 78107