What is the Greatest Common Factor of 78510 and 78520?

Greatest common factor (GCF) of 78510 and 78520 is 10.

GCF(78510,78520) = 10

We will now calculate the prime factors of 78510 and 78520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78510 and 78520.

How to find the GCF of 78510 and 78520?

We will first find the prime factorization of 78510 and 78520. After we will calculate the factors of 78510 and 78520 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 78520

Prime factors of 78520 are 2, 5, 13, 151. Prime factorization of 78520 in exponential form is:

78520 = 2³ × 5¹ × 13¹ × 151¹

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 78520

List of positive integer factors of 78520 that divides 78510 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 151, 260, 302, 520, 604, 755, 1208, 1510, 1963, 3020, 3926, 6040, 7852, 9815, 15704, 19630, 39260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78510 and 78520. The biggest common factor number is the GCF number.
So the greatest common factor 78510 and 78520 is 10.

Also check out the Least Common Multiple of 78510 and 78520