What is the Greatest Common Factor of 68790 and 68805?

Greatest common factor (GCF) of 68790 and 68805 is 15.

GCF(68790,68805) = 15

We will now calculate the prime factors of 68790 and 68805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68790 and 68805.

How to find the GCF of 68790 and 68805?

We will first find the prime factorization of 68790 and 68805. After we will calculate the factors of 68790 and 68805 and find the biggest common factor number .

Step-1: Prime Factorization of 68790

Prime factors of 68790 are 2, 3, 5, 2293. Prime factorization of 68790 in exponential form is:

68790 = 2¹ × 3¹ × 5¹ × 2293¹

Step-2: Prime Factorization of 68805

Prime factors of 68805 are 3, 5, 11, 139. Prime factorization of 68805 in exponential form is:

68805 = 3² × 5¹ × 11¹ × 139¹

Step-3: Factors of 68790

List of positive integer factors of 68790 that divides 68790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2293, 4586, 6879, 11465, 13758, 22930, 34395

Step-4: Factors of 68805

List of positive integer factors of 68805 that divides 68790 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 139, 165, 417, 495, 695, 1251, 1529, 2085, 4587, 6255, 7645, 13761, 22935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68790 and 68805. The biggest common factor number is the GCF number.
So the greatest common factor 68790 and 68805 is 15.

Also check out the Least Common Multiple of 68790 and 68805