What is the Greatest Common Factor of 93200 and 93210?

Greatest common factor (GCF) of 93200 and 93210 is 10.

GCF(93200,93210) = 10

We will now calculate the prime factors of 93200 and 93210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93200 and 93210.

How to find the GCF of 93200 and 93210?

We will first find the prime factorization of 93200 and 93210. After we will calculate the factors of 93200 and 93210 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 93210

Prime factors of 93210 are 2, 3, 5, 13, 239. Prime factorization of 93210 in exponential form is:

93210 = 2¹ × 3¹ × 5¹ × 13¹ × 239¹

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 93210

List of positive integer factors of 93210 that divides 93200 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 239, 390, 478, 717, 1195, 1434, 2390, 3107, 3585, 6214, 7170, 9321, 15535, 18642, 31070, 46605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93200 and 93210. The biggest common factor number is the GCF number.
So the greatest common factor 93200 and 93210 is 10.

Also check out the Least Common Multiple of 93200 and 93210