What is the Greatest Common Factor of 91994 and 92008?

Greatest common factor (GCF) of 91994 and 92008 is 14.

GCF(91994,92008) = 14

We will now calculate the prime factors of 91994 and 92008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91994 and 92008.

How to find the GCF of 91994 and 92008?

We will first find the prime factorization of 91994 and 92008. After we will calculate the factors of 91994 and 92008 and find the biggest common factor number .

Step-1: Prime Factorization of 91994

Prime factors of 91994 are 2, 7, 6571. Prime factorization of 91994 in exponential form is:

91994 = 2¹ × 7¹ × 6571¹

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 91994

List of positive integer factors of 91994 that divides 91994 without a remainder.

1, 2, 7, 14, 6571, 13142, 45997

Step-4: Factors of 92008

List of positive integer factors of 92008 that divides 91994 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 91994 and 92008. The biggest common factor number is the GCF number.
So the greatest common factor 91994 and 92008 is 14.

Also check out the Least Common Multiple of 91994 and 92008