What is the Greatest Common Factor of 93680 and 93690?

Greatest common factor (GCF) of 93680 and 93690 is 10.

GCF(93680,93690) = 10

We will now calculate the prime factors of 93680 and 93690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93680 and 93690.

How to find the GCF of 93680 and 93690?

We will first find the prime factorization of 93680 and 93690. After we will calculate the factors of 93680 and 93690 and find the biggest common factor number .

Step-1: Prime Factorization of 93680

Prime factors of 93680 are 2, 5, 1171. Prime factorization of 93680 in exponential form is:

93680 = 2⁴ × 5¹ × 1171¹

Step-2: Prime Factorization of 93690

Prime factors of 93690 are 2, 3, 5, 347. Prime factorization of 93690 in exponential form is:

93690 = 2¹ × 3³ × 5¹ × 347¹

Step-3: Factors of 93680

List of positive integer factors of 93680 that divides 93680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1171, 2342, 4684, 5855, 9368, 11710, 18736, 23420, 46840

Step-4: Factors of 93690

List of positive integer factors of 93690 that divides 93680 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 347, 694, 1041, 1735, 2082, 3123, 3470, 5205, 6246, 9369, 10410, 15615, 18738, 31230, 46845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93680 and 93690. The biggest common factor number is the GCF number.
So the greatest common factor 93680 and 93690 is 10.

Also check out the Least Common Multiple of 93680 and 93690