What is the Greatest Common Factor of 78538 and 78549?

Greatest common factor (GCF) of 78538 and 78549 is 1.

GCF(78538,78549) = 1

We will now calculate the prime factors of 78538 and 78549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78538 and 78549.

How to find the GCF of 78538 and 78549?

We will first find the prime factorization of 78538 and 78549. After we will calculate the factors of 78538 and 78549 and find the biggest common factor number .

Step-1: Prime Factorization of 78538

Prime factors of 78538 are 2, 107, 367. Prime factorization of 78538 in exponential form is:

78538 = 2¹ × 107¹ × 367¹

Step-2: Prime Factorization of 78549

Prime factors of 78549 are 3, 26183. Prime factorization of 78549 in exponential form is:

78549 = 3¹ × 26183¹

Step-3: Factors of 78538

List of positive integer factors of 78538 that divides 78538 without a remainder.

1, 2, 107, 214, 367, 734, 39269

Step-4: Factors of 78549

List of positive integer factors of 78549 that divides 78538 without a remainder.

1, 3, 26183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78538 and 78549. The biggest common factor number is the GCF number.
So the greatest common factor 78538 and 78549 is 1.

Also check out the Least Common Multiple of 78538 and 78549