What is the Greatest Common Factor of 91668 and 91677?

Greatest common factor (GCF) of 91668 and 91677 is 3.

GCF(91668,91677) = 3

We will now calculate the prime factors of 91668 and 91677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91668 and 91677.

How to find the GCF of 91668 and 91677?

We will first find the prime factorization of 91668 and 91677. After we will calculate the factors of 91668 and 91677 and find the biggest common factor number .

Step-1: Prime Factorization of 91668

Prime factors of 91668 are 2, 3, 7639. Prime factorization of 91668 in exponential form is:

91668 = 2² × 3¹ × 7639¹

Step-2: Prime Factorization of 91677

Prime factors of 91677 are 3, 30559. Prime factorization of 91677 in exponential form is:

91677 = 3¹ × 30559¹

Step-3: Factors of 91668

List of positive integer factors of 91668 that divides 91668 without a remainder.

1, 2, 3, 4, 6, 12, 7639, 15278, 22917, 30556, 45834

Step-4: Factors of 91677

List of positive integer factors of 91677 that divides 91668 without a remainder.

1, 3, 30559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91668 and 91677. The biggest common factor number is the GCF number.
So the greatest common factor 91668 and 91677 is 3.

Also check out the Least Common Multiple of 91668 and 91677