What is the Greatest Common Factor of 97668 and 97683?

Greatest common factor (GCF) of 97668 and 97683 is 3.

GCF(97668,97683) = 3

We will now calculate the prime factors of 97668 and 97683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97668 and 97683.

How to find the GCF of 97668 and 97683?

We will first find the prime factorization of 97668 and 97683. After we will calculate the factors of 97668 and 97683 and find the biggest common factor number .

Step-1: Prime Factorization of 97668

Prime factors of 97668 are 2, 3, 2713. Prime factorization of 97668 in exponential form is:

97668 = 2² × 3² × 2713¹

Step-2: Prime Factorization of 97683

Prime factors of 97683 are 3, 32561. Prime factorization of 97683 in exponential form is:

97683 = 3¹ × 32561¹

Step-3: Factors of 97668

List of positive integer factors of 97668 that divides 97668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2713, 5426, 8139, 10852, 16278, 24417, 32556, 48834

Step-4: Factors of 97683

List of positive integer factors of 97683 that divides 97668 without a remainder.

1, 3, 32561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97668 and 97683. The biggest common factor number is the GCF number.
So the greatest common factor 97668 and 97683 is 3.

Also check out the Least Common Multiple of 97668 and 97683