What is the Greatest Common Factor of 78600 and 78615?

Greatest common factor (GCF) of 78600 and 78615 is 15.

GCF(78600,78615) = 15

We will now calculate the prime factors of 78600 and 78615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78600 and 78615.

How to find the GCF of 78600 and 78615?

We will first find the prime factorization of 78600 and 78615. After we will calculate the factors of 78600 and 78615 and find the biggest common factor number .

Step-1: Prime Factorization of 78600

Prime factors of 78600 are 2, 3, 5, 131. Prime factorization of 78600 in exponential form is:

78600 = 2³ × 3¹ × 5² × 131¹

Step-2: 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-3: Factors of 78600

List of positive integer factors of 78600 that divides 78600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 131, 150, 200, 262, 300, 393, 524, 600, 655, 786, 1048, 1310, 1572, 1965, 2620, 3144, 3275, 3930, 5240, 6550, 7860, 9825, 13100, 15720, 19650, 26200, 39300

Step-4: Factors of 78615

List of positive integer factors of 78615 that divides 78600 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78600 and 78615. The biggest common factor number is the GCF number.
So the greatest common factor 78600 and 78615 is 15.

Also check out the Least Common Multiple of 78600 and 78615