What is the Greatest Common Factor of 23415 and 23430?

Greatest common factor (GCF) of 23415 and 23430 is 15.

GCF(23415,23430) = 15

We will now calculate the prime factors of 23415 and 23430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23415 and 23430.

How to find the GCF of 23415 and 23430?

We will first find the prime factorization of 23415 and 23430. After we will calculate the factors of 23415 and 23430 and find the biggest common factor number .

Step-1: Prime Factorization of 23415

Prime factors of 23415 are 3, 5, 7, 223. Prime factorization of 23415 in exponential form is:

23415 = 3¹ × 5¹ × 7¹ × 223¹

Step-2: Prime Factorization of 23430

Prime factors of 23430 are 2, 3, 5, 11, 71. Prime factorization of 23430 in exponential form is:

23430 = 2¹ × 3¹ × 5¹ × 11¹ × 71¹

Step-3: Factors of 23415

List of positive integer factors of 23415 that divides 23415 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 223, 669, 1115, 1561, 3345, 4683, 7805

Step-4: Factors of 23430

List of positive integer factors of 23430 that divides 23415 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 71, 110, 142, 165, 213, 330, 355, 426, 710, 781, 1065, 1562, 2130, 2343, 3905, 4686, 7810, 11715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23415 and 23430. The biggest common factor number is the GCF number.
So the greatest common factor 23415 and 23430 is 15.

Also check out the Least Common Multiple of 23415 and 23430