What is the Greatest Common Factor of 91977 and 91986?

Greatest common factor (GCF) of 91977 and 91986 is 3.

GCF(91977,91986) = 3

We will now calculate the prime factors of 91977 and 91986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91977 and 91986.

How to find the GCF of 91977 and 91986?

We will first find the prime factorization of 91977 and 91986. After we will calculate the factors of 91977 and 91986 and find the biggest common factor number .

Step-1: Prime Factorization of 91977

Prime factors of 91977 are 3, 23, 31, 43. Prime factorization of 91977 in exponential form is:

91977 = 3¹ × 23¹ × 31¹ × 43¹

Step-2: 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-3: Factors of 91977

List of positive integer factors of 91977 that divides 91977 without a remainder.

1, 3, 23, 31, 43, 69, 93, 129, 713, 989, 1333, 2139, 2967, 3999, 30659

Step-4: Factors of 91986

List of positive integer factors of 91986 that divides 91977 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91977 and 91986. The biggest common factor number is the GCF number.
So the greatest common factor 91977 and 91986 is 3.

Also check out the Least Common Multiple of 91977 and 91986