What is the Greatest Common Factor of 93200 and 93205?

Greatest common factor (GCF) of 93200 and 93205 is 5.

GCF(93200,93205) = 5

We will now calculate the prime factors of 93200 and 93205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93200 and 93205.

How to find the GCF of 93200 and 93205?

We will first find the prime factorization of 93200 and 93205. After we will calculate the factors of 93200 and 93205 and find the biggest common factor number .

Step-1: Prime Factorization of 93200

Prime factors of 93200 are 2, 5, 233. Prime factorization of 93200 in exponential form is:

93200 = 2⁴ × 5² × 233¹

Step-2: Prime Factorization of 93205

Prime factors of 93205 are 5, 7, 2663. Prime factorization of 93205 in exponential form is:

93205 = 5¹ × 7¹ × 2663¹

Step-3: Factors of 93200

List of positive integer factors of 93200 that divides 93200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 233, 400, 466, 932, 1165, 1864, 2330, 3728, 4660, 5825, 9320, 11650, 18640, 23300, 46600

Step-4: Factors of 93205

List of positive integer factors of 93205 that divides 93200 without a remainder.

1, 5, 7, 35, 2663, 13315, 18641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93200 and 93205. The biggest common factor number is the GCF number.
So the greatest common factor 93200 and 93205 is 5.

Also check out the Least Common Multiple of 93200 and 93205