What is the Greatest Common Factor of 96415 and 96435?

Greatest common factor (GCF) of 96415 and 96435 is 5.

GCF(96415,96435) = 5

We will now calculate the prime factors of 96415 and 96435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96415 and 96435.

How to find the GCF of 96415 and 96435?

We will first find the prime factorization of 96415 and 96435. After we will calculate the factors of 96415 and 96435 and find the biggest common factor number .

Step-1: Prime Factorization of 96415

Prime factors of 96415 are 5, 11, 1753. Prime factorization of 96415 in exponential form is:

96415 = 5¹ × 11¹ × 1753¹

Step-2: Prime Factorization of 96435

Prime factors of 96435 are 3, 5, 2143. Prime factorization of 96435 in exponential form is:

96435 = 3² × 5¹ × 2143¹

Step-3: Factors of 96415

List of positive integer factors of 96415 that divides 96415 without a remainder.

1, 5, 11, 55, 1753, 8765, 19283

Step-4: Factors of 96435

List of positive integer factors of 96435 that divides 96415 without a remainder.

1, 3, 5, 9, 15, 45, 2143, 6429, 10715, 19287, 32145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96415 and 96435. The biggest common factor number is the GCF number.
So the greatest common factor 96415 and 96435 is 5.

Also check out the Least Common Multiple of 96415 and 96435