What is the Greatest Common Factor of 78538 and 78542?

Greatest common factor (GCF) of 78538 and 78542 is 2.

GCF(78538,78542) = 2

We will now calculate the prime factors of 78538 and 78542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78538 and 78542.

How to find the GCF of 78538 and 78542?

We will first find the prime factorization of 78538 and 78542. After we will calculate the factors of 78538 and 78542 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 78542

Prime factors of 78542 are 2, 173, 227. Prime factorization of 78542 in exponential form is:

78542 = 2¹ × 173¹ × 227¹

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 78542

List of positive integer factors of 78542 that divides 78538 without a remainder.

1, 2, 173, 227, 346, 454, 39271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78538 and 78542. The biggest common factor number is the GCF number.
So the greatest common factor 78538 and 78542 is 2.

Also check out the Least Common Multiple of 78538 and 78542