What is the Greatest Common Factor of 30750 and 30765?

Greatest common factor (GCF) of 30750 and 30765 is 15.

GCF(30750,30765) = 15

We will now calculate the prime factors of 30750 and 30765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30750 and 30765.

How to find the GCF of 30750 and 30765?

We will first find the prime factorization of 30750 and 30765. After we will calculate the factors of 30750 and 30765 and find the biggest common factor number .

Step-1: Prime Factorization of 30750

Prime factors of 30750 are 2, 3, 5, 41. Prime factorization of 30750 in exponential form is:

30750 = 2¹ × 3¹ × 5³ × 41¹

Step-2: Prime Factorization of 30765

Prime factors of 30765 are 3, 5, 7, 293. Prime factorization of 30765 in exponential form is:

30765 = 3¹ × 5¹ × 7¹ × 293¹

Step-3: Factors of 30750

List of positive integer factors of 30750 that divides 30750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 125, 150, 205, 246, 250, 375, 410, 615, 750, 1025, 1230, 2050, 3075, 5125, 6150, 10250, 15375

Step-4: Factors of 30765

List of positive integer factors of 30765 that divides 30750 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 293, 879, 1465, 2051, 4395, 6153, 10255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30750 and 30765. The biggest common factor number is the GCF number.
So the greatest common factor 30750 and 30765 is 15.

Also check out the Least Common Multiple of 30750 and 30765