What is the Greatest Common Factor of 92910 and 92920?

Greatest common factor (GCF) of 92910 and 92920 is 10.

GCF(92910,92920) = 10

We will now calculate the prime factors of 92910 and 92920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92910 and 92920.

How to find the GCF of 92910 and 92920?

We will first find the prime factorization of 92910 and 92920. After we will calculate the factors of 92910 and 92920 and find the biggest common factor number .

Step-1: Prime Factorization of 92910

Prime factors of 92910 are 2, 3, 5, 19, 163. Prime factorization of 92910 in exponential form is:

92910 = 2¹ × 3¹ × 5¹ × 19¹ × 163¹

Step-2: Prime Factorization of 92920

Prime factors of 92920 are 2, 5, 23, 101. Prime factorization of 92920 in exponential form is:

92920 = 2³ × 5¹ × 23¹ × 101¹

Step-3: Factors of 92910

List of positive integer factors of 92910 that divides 92910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 163, 190, 285, 326, 489, 570, 815, 978, 1630, 2445, 3097, 4890, 6194, 9291, 15485, 18582, 30970, 46455

Step-4: Factors of 92920

List of positive integer factors of 92920 that divides 92910 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 101, 115, 184, 202, 230, 404, 460, 505, 808, 920, 1010, 2020, 2323, 4040, 4646, 9292, 11615, 18584, 23230, 46460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92910 and 92920. The biggest common factor number is the GCF number.
So the greatest common factor 92910 and 92920 is 10.

Also check out the Least Common Multiple of 92910 and 92920