What is the Greatest Common Factor of 91988 and 92001?

Greatest common factor (GCF) of 91988 and 92001 is 13.

GCF(91988,92001) = 13

We will now calculate the prime factors of 91988 and 92001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91988 and 92001.

How to find the GCF of 91988 and 92001?

We will first find the prime factorization of 91988 and 92001. After we will calculate the factors of 91988 and 92001 and find the biggest common factor number .

Step-1: Prime Factorization of 91988

Prime factors of 91988 are 2, 13, 29, 61. Prime factorization of 91988 in exponential form is:

91988 = 2² × 13¹ × 29¹ × 61¹

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 91988

List of positive integer factors of 91988 that divides 91988 without a remainder.

1, 2, 4, 13, 26, 29, 52, 58, 61, 116, 122, 244, 377, 754, 793, 1508, 1586, 1769, 3172, 3538, 7076, 22997, 45994

Step-4: Factors of 92001

List of positive integer factors of 92001 that divides 91988 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 91988 and 92001. The biggest common factor number is the GCF number.
So the greatest common factor 91988 and 92001 is 13.

Also check out the Least Common Multiple of 91988 and 92001