What is the Greatest Common Factor of 91999 and 92008?

Greatest common factor (GCF) of 91999 and 92008 is 1.

GCF(91999,92008) = 1

We will now calculate the prime factors of 91999 and 92008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91999 and 92008.

How to find the GCF of 91999 and 92008?

We will first find the prime factorization of 91999 and 92008. After we will calculate the factors of 91999 and 92008 and find the biggest common factor number .

Step-1: Prime Factorization of 91999

Prime factors of 91999 are 197, 467. Prime factorization of 91999 in exponential form is:

91999 = 197¹ × 467¹

Step-2: Prime Factorization of 92008

Prime factors of 92008 are 2, 7, 31, 53. Prime factorization of 92008 in exponential form is:

92008 = 2³ × 7¹ × 31¹ × 53¹

Step-3: Factors of 91999

List of positive integer factors of 91999 that divides 91999 without a remainder.

1, 197, 467

Step-4: Factors of 92008

List of positive integer factors of 92008 that divides 91999 without a remainder.

1, 2, 4, 7, 8, 14, 28, 31, 53, 56, 62, 106, 124, 212, 217, 248, 371, 424, 434, 742, 868, 1484, 1643, 1736, 2968, 3286, 6572, 11501, 13144, 23002, 46004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91999 and 92008. The biggest common factor number is the GCF number.
So the greatest common factor 91999 and 92008 is 1.

Also check out the Least Common Multiple of 91999 and 92008