What is the Greatest Common Factor of 91977 and 91992?

Greatest common factor (GCF) of 91977 and 91992 is 3.

GCF(91977,91992) = 3

We will now calculate the prime factors of 91977 and 91992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91977 and 91992.

How to find the GCF of 91977 and 91992?

We will first find the prime factorization of 91977 and 91992. After we will calculate the factors of 91977 and 91992 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 91992

Prime factors of 91992 are 2, 3, 3833. Prime factorization of 91992 in exponential form is:

91992 = 2³ × 3¹ × 3833¹

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 91992

List of positive integer factors of 91992 that divides 91977 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3833, 7666, 11499, 15332, 22998, 30664, 45996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91977 and 91992. The biggest common factor number is the GCF number.
So the greatest common factor 91977 and 91992 is 3.

Also check out the Least Common Multiple of 91977 and 91992