What is the Greatest Common Factor of 96951 and 96963?

Greatest common factor (GCF) of 96951 and 96963 is 3.

GCF(96951,96963) = 3

We will now calculate the prime factors of 96951 and 96963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96951 and 96963.

How to find the GCF of 96951 and 96963?

We will first find the prime factorization of 96951 and 96963. After we will calculate the factors of 96951 and 96963 and find the biggest common factor number .

Step-1: Prime Factorization of 96951

Prime factors of 96951 are 3, 17, 1901. Prime factorization of 96951 in exponential form is:

96951 = 3¹ × 17¹ × 1901¹

Step-2: Prime Factorization of 96963

Prime factors of 96963 are 3, 32321. Prime factorization of 96963 in exponential form is:

96963 = 3¹ × 32321¹

Step-3: Factors of 96951

List of positive integer factors of 96951 that divides 96951 without a remainder.

1, 3, 17, 51, 1901, 5703, 32317

Step-4: Factors of 96963

List of positive integer factors of 96963 that divides 96951 without a remainder.

1, 3, 32321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96951 and 96963. The biggest common factor number is the GCF number.
So the greatest common factor 96951 and 96963 is 3.

Also check out the Least Common Multiple of 96951 and 96963