What is the Greatest Common Factor of 96415 and 96420?

Greatest common factor (GCF) of 96415 and 96420 is 5.

GCF(96415,96420) = 5

We will now calculate the prime factors of 96415 and 96420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96415 and 96420.

How to find the GCF of 96415 and 96420?

We will first find the prime factorization of 96415 and 96420. After we will calculate the factors of 96415 and 96420 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 96420

Prime factors of 96420 are 2, 3, 5, 1607. Prime factorization of 96420 in exponential form is:

96420 = 2² × 3¹ × 5¹ × 1607¹

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 96420

List of positive integer factors of 96420 that divides 96415 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1607, 3214, 4821, 6428, 8035, 9642, 16070, 19284, 24105, 32140, 48210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96415 and 96420. The biggest common factor number is the GCF number.
So the greatest common factor 96415 and 96420 is 5.

Also check out the Least Common Multiple of 96415 and 96420