What is the Greatest Common Factor of 76350 and 76365?

Greatest common factor (GCF) of 76350 and 76365 is 15.

GCF(76350,76365) = 15

We will now calculate the prime factors of 76350 and 76365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76350 and 76365.

How to find the GCF of 76350 and 76365?

We will first find the prime factorization of 76350 and 76365. After we will calculate the factors of 76350 and 76365 and find the biggest common factor number .

Step-1: Prime Factorization of 76350

Prime factors of 76350 are 2, 3, 5, 509. Prime factorization of 76350 in exponential form is:

76350 = 2¹ × 3¹ × 5² × 509¹

Step-2: Prime Factorization of 76365

Prime factors of 76365 are 3, 5, 1697. Prime factorization of 76365 in exponential form is:

76365 = 3² × 5¹ × 1697¹

Step-3: Factors of 76350

List of positive integer factors of 76350 that divides 76350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 509, 1018, 1527, 2545, 3054, 5090, 7635, 12725, 15270, 25450, 38175

Step-4: Factors of 76365

List of positive integer factors of 76365 that divides 76350 without a remainder.

1, 3, 5, 9, 15, 45, 1697, 5091, 8485, 15273, 25455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76350 and 76365. The biggest common factor number is the GCF number.
So the greatest common factor 76350 and 76365 is 15.

Also check out the Least Common Multiple of 76350 and 76365