What is the Greatest Common Factor of 68730 and 68745?

Greatest common factor (GCF) of 68730 and 68745 is 15.

GCF(68730,68745) = 15

We will now calculate the prime factors of 68730 and 68745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68730 and 68745.

How to find the GCF of 68730 and 68745?

We will first find the prime factorization of 68730 and 68745. After we will calculate the factors of 68730 and 68745 and find the biggest common factor number .

Step-1: Prime Factorization of 68730

Prime factors of 68730 are 2, 3, 5, 29, 79. Prime factorization of 68730 in exponential form is:

68730 = 2¹ × 3¹ × 5¹ × 29¹ × 79¹

Step-2: Prime Factorization of 68745

Prime factors of 68745 are 3, 5, 4583. Prime factorization of 68745 in exponential form is:

68745 = 3¹ × 5¹ × 4583¹

Step-3: Factors of 68730

List of positive integer factors of 68730 that divides 68730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 79, 87, 145, 158, 174, 237, 290, 395, 435, 474, 790, 870, 1185, 2291, 2370, 4582, 6873, 11455, 13746, 22910, 34365

Step-4: Factors of 68745

List of positive integer factors of 68745 that divides 68730 without a remainder.

1, 3, 5, 15, 4583, 13749, 22915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68730 and 68745. The biggest common factor number is the GCF number.
So the greatest common factor 68730 and 68745 is 15.

Also check out the Least Common Multiple of 68730 and 68745