What is the Greatest Common Factor of 68780 and 68790?

Greatest common factor (GCF) of 68780 and 68790 is 10.

GCF(68780,68790) = 10

We will now calculate the prime factors of 68780 and 68790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68780 and 68790.

How to find the GCF of 68780 and 68790?

We will first find the prime factorization of 68780 and 68790. After we will calculate the factors of 68780 and 68790 and find the biggest common factor number .

Step-1: Prime Factorization of 68780

Prime factors of 68780 are 2, 5, 19, 181. Prime factorization of 68780 in exponential form is:

68780 = 2² × 5¹ × 19¹ × 181¹

Step-2: 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-3: Factors of 68780

List of positive integer factors of 68780 that divides 68780 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 181, 190, 362, 380, 724, 905, 1810, 3439, 3620, 6878, 13756, 17195, 34390

Step-4: Factors of 68790

List of positive integer factors of 68790 that divides 68780 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68780 and 68790. The biggest common factor number is the GCF number.
So the greatest common factor 68780 and 68790 is 10.

Also check out the Least Common Multiple of 68780 and 68790