What is the Greatest Common Factor of 78538 and 78553?

Greatest common factor (GCF) of 78538 and 78553 is 1.

GCF(78538,78553) = 1

We will now calculate the prime factors of 78538 and 78553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78538 and 78553.

How to find the GCF of 78538 and 78553?

We will first find the prime factorization of 78538 and 78553. After we will calculate the factors of 78538 and 78553 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 78553

Prime factors of 78553 are 78553. Prime factorization of 78553 in exponential form is:

78553 = 78553¹

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 78553

List of positive integer factors of 78553 that divides 78538 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78538 and 78553. The biggest common factor number is the GCF number.
So the greatest common factor 78538 and 78553 is 1.

Also check out the Least Common Multiple of 78538 and 78553