What is the Greatest Common Factor of 91988 and 92005?

Greatest common factor (GCF) of 91988 and 92005 is 1.

GCF(91988,92005) = 1

We will now calculate the prime factors of 91988 and 92005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91988 and 92005.

How to find the GCF of 91988 and 92005?

We will first find the prime factorization of 91988 and 92005. After we will calculate the factors of 91988 and 92005 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 92005

Prime factors of 92005 are 5, 18401. Prime factorization of 92005 in exponential form is:

92005 = 5¹ × 18401¹

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 92005

List of positive integer factors of 92005 that divides 91988 without a remainder.

1, 5, 18401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91988 and 92005. The biggest common factor number is the GCF number.
So the greatest common factor 91988 and 92005 is 1.

Also check out the Least Common Multiple of 91988 and 92005