What is the Greatest Common Factor of 91988 and 92003?

Greatest common factor (GCF) of 91988 and 92003 is 1.

GCF(91988,92003) = 1

We will now calculate the prime factors of 91988 and 92003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91988 and 92003.

How to find the GCF of 91988 and 92003?

We will first find the prime factorization of 91988 and 92003. After we will calculate the factors of 91988 and 92003 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 92003

Prime factors of 92003 are 92003. Prime factorization of 92003 in exponential form is:

92003 = 92003¹

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 92003

List of positive integer factors of 92003 that divides 91988 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91988 and 92003. The biggest common factor number is the GCF number.
So the greatest common factor 91988 and 92003 is 1.

Also check out the Least Common Multiple of 91988 and 92003