What is the Greatest Common Factor of 96625 and 96641?

Greatest common factor (GCF) of 96625 and 96641 is 1.

GCF(96625,96641) = 1

We will now calculate the prime factors of 96625 and 96641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96625 and 96641.

How to find the GCF of 96625 and 96641?

We will first find the prime factorization of 96625 and 96641. After we will calculate the factors of 96625 and 96641 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 96641

Prime factors of 96641 are 241, 401. Prime factorization of 96641 in exponential form is:

96641 = 241¹ × 401¹

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 96641

List of positive integer factors of 96641 that divides 96625 without a remainder.

1, 241, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96625 and 96641. The biggest common factor number is the GCF number.
So the greatest common factor 96625 and 96641 is 1.

Also check out the Least Common Multiple of 96625 and 96641