What is the Greatest Common Factor of 78538 and 78550?

Greatest common factor (GCF) of 78538 and 78550 is 2.

GCF(78538,78550) = 2

We will now calculate the prime factors of 78538 and 78550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78538 and 78550.

How to find the GCF of 78538 and 78550?

We will first find the prime factorization of 78538 and 78550. After we will calculate the factors of 78538 and 78550 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 78550

Prime factors of 78550 are 2, 5, 1571. Prime factorization of 78550 in exponential form is:

78550 = 2¹ × 5² × 1571¹

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 78550

List of positive integer factors of 78550 that divides 78538 without a remainder.

1, 2, 5, 10, 25, 50, 1571, 3142, 7855, 15710, 39275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78538 and 78550. The biggest common factor number is the GCF number.
So the greatest common factor 78538 and 78550 is 2.

Also check out the Least Common Multiple of 78538 and 78550