What is the Greatest Common Factor of 71415 and 71430?

Greatest common factor (GCF) of 71415 and 71430 is 15.

GCF(71415,71430) = 15

We will now calculate the prime factors of 71415 and 71430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71415 and 71430.

How to find the GCF of 71415 and 71430?

We will first find the prime factorization of 71415 and 71430. After we will calculate the factors of 71415 and 71430 and find the biggest common factor number .

Step-1: Prime Factorization of 71415

Prime factors of 71415 are 3, 5, 23. Prime factorization of 71415 in exponential form is:

71415 = 3³ × 5¹ × 23²

Step-2: Prime Factorization of 71430

Prime factors of 71430 are 2, 3, 5, 2381. Prime factorization of 71430 in exponential form is:

71430 = 2¹ × 3¹ × 5¹ × 2381¹

Step-3: Factors of 71415

List of positive integer factors of 71415 that divides 71415 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 529, 621, 1035, 1587, 2645, 3105, 4761, 7935, 14283, 23805

Step-4: Factors of 71430

List of positive integer factors of 71430 that divides 71415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2381, 4762, 7143, 11905, 14286, 23810, 35715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71415 and 71430. The biggest common factor number is the GCF number.
So the greatest common factor 71415 and 71430 is 15.

Also check out the Least Common Multiple of 71415 and 71430