What is the Greatest Common Factor of 96625 and 96630?

Greatest common factor (GCF) of 96625 and 96630 is 5.

GCF(96625,96630) = 5

We will now calculate the prime factors of 96625 and 96630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96625 and 96630.

How to find the GCF of 96625 and 96630?

We will first find the prime factorization of 96625 and 96630. After we will calculate the factors of 96625 and 96630 and find the biggest common factor number .

Step-1: Prime Factorization of 96625

Prime factors of 96625 are 5, 773. Prime factorization of 96625 in exponential form is:

96625 = 5³ × 773¹

Step-2: Prime Factorization of 96630

Prime factors of 96630 are 2, 3, 5, 3221. Prime factorization of 96630 in exponential form is:

96630 = 2¹ × 3¹ × 5¹ × 3221¹

Step-3: Factors of 96625

List of positive integer factors of 96625 that divides 96625 without a remainder.

1, 5, 25, 125, 773, 3865, 19325

Step-4: Factors of 96630

List of positive integer factors of 96630 that divides 96625 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3221, 6442, 9663, 16105, 19326, 32210, 48315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96625 and 96630. The biggest common factor number is the GCF number.
So the greatest common factor 96625 and 96630 is 5.

Also check out the Least Common Multiple of 96625 and 96630