What is the Greatest Common Factor of 92008 and 92014?

Greatest common factor (GCF) of 92008 and 92014 is 2.

GCF(92008,92014) = 2

We will now calculate the prime factors of 92008 and 92014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92008 and 92014.

How to find the GCF of 92008 and 92014?

We will first find the prime factorization of 92008 and 92014. After we will calculate the factors of 92008 and 92014 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92014

Prime factors of 92014 are 2, 13, 3539. Prime factorization of 92014 in exponential form is:

92014 = 2¹ × 13¹ × 3539¹

Step-3: Factors of 92008

List of positive integer factors of 92008 that divides 92008 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

Step-4: Factors of 92014

List of positive integer factors of 92014 that divides 92008 without a remainder.

1, 2, 13, 26, 3539, 7078, 46007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92008 and 92014. The biggest common factor number is the GCF number.
So the greatest common factor 92008 and 92014 is 2.

Also check out the Least Common Multiple of 92008 and 92014