What is the Greatest Common Factor of 78524 and 78538?

Greatest common factor (GCF) of 78524 and 78538 is 2.

GCF(78524,78538) = 2

We will now calculate the prime factors of 78524 and 78538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78524 and 78538.

How to find the GCF of 78524 and 78538?

We will first find the prime factorization of 78524 and 78538. After we will calculate the factors of 78524 and 78538 and find the biggest common factor number .

Step-1: Prime Factorization of 78524

Prime factors of 78524 are 2, 67, 293. Prime factorization of 78524 in exponential form is:

78524 = 2² × 67¹ × 293¹

Step-2: 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-3: Factors of 78524

List of positive integer factors of 78524 that divides 78524 without a remainder.

1, 2, 4, 67, 134, 268, 293, 586, 1172, 19631, 39262

Step-4: Factors of 78538

List of positive integer factors of 78538 that divides 78524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78524 and 78538. The biggest common factor number is the GCF number.
So the greatest common factor 78524 and 78538 is 2.

Also check out the Least Common Multiple of 78524 and 78538