What is the Greatest Common Factor of 91986 and 92001?

Greatest common factor (GCF) of 91986 and 92001 is 3.

GCF(91986,92001) = 3

We will now calculate the prime factors of 91986 and 92001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91986 and 92001.

How to find the GCF of 91986 and 92001?

We will first find the prime factorization of 91986 and 92001. After we will calculate the factors of 91986 and 92001 and find the biggest common factor number .

Step-1: Prime Factorization of 91986

Prime factors of 91986 are 2, 3, 15331. Prime factorization of 91986 in exponential form is:

91986 = 2¹ × 3¹ × 15331¹

Step-2: Prime Factorization of 92001

Prime factors of 92001 are 3, 7, 13, 337. Prime factorization of 92001 in exponential form is:

92001 = 3¹ × 7¹ × 13¹ × 337¹

Step-3: Factors of 91986

List of positive integer factors of 91986 that divides 91986 without a remainder.

1, 2, 3, 6, 15331, 30662, 45993

Step-4: Factors of 92001

List of positive integer factors of 92001 that divides 91986 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 337, 1011, 2359, 4381, 7077, 13143, 30667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91986 and 92001. The biggest common factor number is the GCF number.
So the greatest common factor 91986 and 92001 is 3.

Also check out the Least Common Multiple of 91986 and 92001