What is the Greatest Common Factor of 78510 and 78524?

Greatest common factor (GCF) of 78510 and 78524 is 2.

GCF(78510,78524) = 2

We will now calculate the prime factors of 78510 and 78524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78510 and 78524.

How to find the GCF of 78510 and 78524?

We will first find the prime factorization of 78510 and 78524. After we will calculate the factors of 78510 and 78524 and find the biggest common factor number .

Step-1: Prime Factorization of 78510

Prime factors of 78510 are 2, 3, 5, 2617. Prime factorization of 78510 in exponential form is:

78510 = 2¹ × 3¹ × 5¹ × 2617¹

Step-2: 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-3: Factors of 78510

List of positive integer factors of 78510 that divides 78510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2617, 5234, 7851, 13085, 15702, 26170, 39255

Step-4: Factors of 78524

List of positive integer factors of 78524 that divides 78510 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78510 and 78524. The biggest common factor number is the GCF number.
So the greatest common factor 78510 and 78524 is 2.

Also check out the Least Common Multiple of 78510 and 78524