What is the Greatest Common Factor of 91991 and 92008?

Greatest common factor (GCF) of 91991 and 92008 is 1.

GCF(91991,92008) = 1

We will now calculate the prime factors of 91991 and 92008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91991 and 92008.

How to find the GCF of 91991 and 92008?

We will first find the prime factorization of 91991 and 92008. After we will calculate the factors of 91991 and 92008 and find the biggest common factor number .

Step-1: Prime Factorization of 91991

Prime factors of 91991 are 67, 1373. Prime factorization of 91991 in exponential form is:

91991 = 67¹ × 1373¹

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 91991

List of positive integer factors of 91991 that divides 91991 without a remainder.

1, 67, 1373

Step-4: Factors of 92008

List of positive integer factors of 92008 that divides 91991 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 91991 and 92008. The biggest common factor number is the GCF number.
So the greatest common factor 91991 and 92008 is 1.

Also check out the Least Common Multiple of 91991 and 92008