What is the Greatest Common Factor of 78615 and 78630?

Greatest common factor (GCF) of 78615 and 78630 is 15.

GCF(78615,78630) = 15

We will now calculate the prime factors of 78615 and 78630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78615 and 78630.

How to find the GCF of 78615 and 78630?

We will first find the prime factorization of 78615 and 78630. After we will calculate the factors of 78615 and 78630 and find the biggest common factor number .

Step-1: Prime Factorization of 78615

Prime factors of 78615 are 3, 5, 1747. Prime factorization of 78615 in exponential form is:

78615 = 3² × 5¹ × 1747¹

Step-2: Prime Factorization of 78630

Prime factors of 78630 are 2, 3, 5, 2621. Prime factorization of 78630 in exponential form is:

78630 = 2¹ × 3¹ × 5¹ × 2621¹

Step-3: Factors of 78615

List of positive integer factors of 78615 that divides 78615 without a remainder.

1, 3, 5, 9, 15, 45, 1747, 5241, 8735, 15723, 26205

Step-4: Factors of 78630

List of positive integer factors of 78630 that divides 78615 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2621, 5242, 7863, 13105, 15726, 26210, 39315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78615 and 78630. The biggest common factor number is the GCF number.
So the greatest common factor 78615 and 78630 is 15.

Also check out the Least Common Multiple of 78615 and 78630