What is the Greatest Common Factor of 96663 and 96677?

Greatest common factor (GCF) of 96663 and 96677 is 7.

GCF(96663,96677) = 7

We will now calculate the prime factors of 96663 and 96677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96663 and 96677.

How to find the GCF of 96663 and 96677?

We will first find the prime factorization of 96663 and 96677. After we will calculate the factors of 96663 and 96677 and find the biggest common factor number .

Step-1: Prime Factorization of 96663

Prime factors of 96663 are 3, 7, 4603. Prime factorization of 96663 in exponential form is:

96663 = 3¹ × 7¹ × 4603¹

Step-2: Prime Factorization of 96677

Prime factors of 96677 are 7, 1973. Prime factorization of 96677 in exponential form is:

96677 = 7² × 1973¹

Step-3: Factors of 96663

List of positive integer factors of 96663 that divides 96663 without a remainder.

1, 3, 7, 21, 4603, 13809, 32221

Step-4: Factors of 96677

List of positive integer factors of 96677 that divides 96663 without a remainder.

1, 7, 49, 1973, 13811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96663 and 96677. The biggest common factor number is the GCF number.
So the greatest common factor 96663 and 96677 is 7.

Also check out the Least Common Multiple of 96663 and 96677