What is the Greatest Common Factor of 92000 and 92010?

Greatest common factor (GCF) of 92000 and 92010 is 10.

GCF(92000,92010) = 10

We will now calculate the prime factors of 92000 and 92010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92000 and 92010.

How to find the GCF of 92000 and 92010?

We will first find the prime factorization of 92000 and 92010. After we will calculate the factors of 92000 and 92010 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 92010

Prime factors of 92010 are 2, 3, 5, 3067. Prime factorization of 92010 in exponential form is:

92010 = 2¹ × 3¹ × 5¹ × 3067¹

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 92010

List of positive integer factors of 92010 that divides 92000 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3067, 6134, 9201, 15335, 18402, 30670, 46005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92000 and 92010. The biggest common factor number is the GCF number.
So the greatest common factor 92000 and 92010 is 10.

Also check out the Least Common Multiple of 92000 and 92010