What is the Greatest Common Factor of 92000 and 92012?

Greatest common factor (GCF) of 92000 and 92012 is 4.

GCF(92000,92012) = 4

We will now calculate the prime factors of 92000 and 92012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92000 and 92012.

How to find the GCF of 92000 and 92012?

We will first find the prime factorization of 92000 and 92012. After we will calculate the factors of 92000 and 92012 and find the biggest common factor number .

Step-1: Prime Factorization of 92000

Prime factors of 92000 are 2, 5, 23. Prime factorization of 92000 in exponential form is:

92000 = 2⁵ × 5³ × 23¹

Step-2: Prime Factorization of 92012

Prime factors of 92012 are 2, 23003. Prime factorization of 92012 in exponential form is:

92012 = 2² × 23003¹

Step-3: Factors of 92000

List of positive integer factors of 92000 that divides 92000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 80, 92, 100, 115, 125, 160, 184, 200, 230, 250, 368, 400, 460, 500, 575, 736, 800, 920, 1000, 1150, 1840, 2000, 2300, 2875, 3680, 4000, 4600, 5750, 9200, 11500, 18400, 23000, 46000

Step-4: Factors of 92012

List of positive integer factors of 92012 that divides 92000 without a remainder.

1, 2, 4, 23003, 46006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92000 and 92012. The biggest common factor number is the GCF number.
So the greatest common factor 92000 and 92012 is 4.

Also check out the Least Common Multiple of 92000 and 92012