What is the Greatest Common Factor of 96016 and 96025?

Greatest common factor (GCF) of 96016 and 96025 is 1.

GCF(96016,96025) = 1

We will now calculate the prime factors of 96016 and 96025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96016 and 96025.

How to find the GCF of 96016 and 96025?

We will first find the prime factorization of 96016 and 96025. After we will calculate the factors of 96016 and 96025 and find the biggest common factor number .

Step-1: Prime Factorization of 96016

Prime factors of 96016 are 2, 17, 353. Prime factorization of 96016 in exponential form is:

96016 = 2⁴ × 17¹ × 353¹

Step-2: Prime Factorization of 96025

Prime factors of 96025 are 5, 23, 167. Prime factorization of 96025 in exponential form is:

96025 = 5² × 23¹ × 167¹

Step-3: Factors of 96016

List of positive integer factors of 96016 that divides 96016 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 353, 706, 1412, 2824, 5648, 6001, 12002, 24004, 48008

Step-4: Factors of 96025

List of positive integer factors of 96025 that divides 96016 without a remainder.

1, 5, 23, 25, 115, 167, 575, 835, 3841, 4175, 19205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96016 and 96025. The biggest common factor number is the GCF number.
So the greatest common factor 96016 and 96025 is 1.

Also check out the Least Common Multiple of 96016 and 96025