What is the Greatest Common Factor of 78510 and 78514?

Greatest common factor (GCF) of 78510 and 78514 is 2.

GCF(78510,78514) = 2

We will now calculate the prime factors of 78510 and 78514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78510 and 78514.

How to find the GCF of 78510 and 78514?

We will first find the prime factorization of 78510 and 78514. After we will calculate the factors of 78510 and 78514 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 78514

Prime factors of 78514 are 2, 37, 1061. Prime factorization of 78514 in exponential form is:

78514 = 2¹ × 37¹ × 1061¹

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 78514

List of positive integer factors of 78514 that divides 78510 without a remainder.

1, 2, 37, 74, 1061, 2122, 39257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78510 and 78514. The biggest common factor number is the GCF number.
So the greatest common factor 78510 and 78514 is 2.

Also check out the Least Common Multiple of 78510 and 78514