What is the Greatest Common Factor of 92895 and 92900?

Greatest common factor (GCF) of 92895 and 92900 is 5.

GCF(92895,92900) = 5

We will now calculate the prime factors of 92895 and 92900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92895 and 92900.

How to find the GCF of 92895 and 92900?

We will first find the prime factorization of 92895 and 92900. After we will calculate the factors of 92895 and 92900 and find the biggest common factor number .

Step-1: Prime Factorization of 92895

Prime factors of 92895 are 3, 5, 11, 563. Prime factorization of 92895 in exponential form is:

92895 = 3¹ × 5¹ × 11¹ × 563¹

Step-2: Prime Factorization of 92900

Prime factors of 92900 are 2, 5, 929. Prime factorization of 92900 in exponential form is:

92900 = 2² × 5² × 929¹

Step-3: Factors of 92895

List of positive integer factors of 92895 that divides 92895 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 563, 1689, 2815, 6193, 8445, 18579, 30965

Step-4: Factors of 92900

List of positive integer factors of 92900 that divides 92895 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 929, 1858, 3716, 4645, 9290, 18580, 23225, 46450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92895 and 92900. The biggest common factor number is the GCF number.
So the greatest common factor 92895 and 92900 is 5.

Also check out the Least Common Multiple of 92895 and 92900