What is the Greatest Common Factor of 92905 and 92920?

Greatest common factor (GCF) of 92905 and 92920 is 5.

GCF(92905,92920) = 5

We will now calculate the prime factors of 92905 and 92920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92905 and 92920.

How to find the GCF of 92905 and 92920?

We will first find the prime factorization of 92905 and 92920. After we will calculate the factors of 92905 and 92920 and find the biggest common factor number .

Step-1: Prime Factorization of 92905

Prime factors of 92905 are 5, 17, 1093. Prime factorization of 92905 in exponential form is:

92905 = 5¹ × 17¹ × 1093¹

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 92905

List of positive integer factors of 92905 that divides 92905 without a remainder.

1, 5, 17, 85, 1093, 5465, 18581

Step-4: Factors of 92920

List of positive integer factors of 92920 that divides 92905 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 92905 and 92920. The biggest common factor number is the GCF number.
So the greatest common factor 92905 and 92920 is 5.

Also check out the Least Common Multiple of 92905 and 92920