What is the Greatest Common Factor of 93350 and 93360?

Greatest common factor (GCF) of 93350 and 93360 is 10.

GCF(93350,93360) = 10

We will now calculate the prime factors of 93350 and 93360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93350 and 93360.

How to find the GCF of 93350 and 93360?

We will first find the prime factorization of 93350 and 93360. After we will calculate the factors of 93350 and 93360 and find the biggest common factor number .

Step-1: Prime Factorization of 93350

Prime factors of 93350 are 2, 5, 1867. Prime factorization of 93350 in exponential form is:

93350 = 2¹ × 5² × 1867¹

Step-2: Prime Factorization of 93360

Prime factors of 93360 are 2, 3, 5, 389. Prime factorization of 93360 in exponential form is:

93360 = 2⁴ × 3¹ × 5¹ × 389¹

Step-3: Factors of 93350

List of positive integer factors of 93350 that divides 93350 without a remainder.

1, 2, 5, 10, 25, 50, 1867, 3734, 9335, 18670, 46675

Step-4: Factors of 93360

List of positive integer factors of 93360 that divides 93350 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 6224, 7780, 9336, 11670, 15560, 18672, 23340, 31120, 46680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93350 and 93360. The biggest common factor number is the GCF number.
So the greatest common factor 93350 and 93360 is 10.

Also check out the Least Common Multiple of 93350 and 93360