What is the Greatest Common Factor of 68720 and 68730?

Greatest common factor (GCF) of 68720 and 68730 is 10.

GCF(68720,68730) = 10

We will now calculate the prime factors of 68720 and 68730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68720 and 68730.

How to find the GCF of 68720 and 68730?

We will first find the prime factorization of 68720 and 68730. After we will calculate the factors of 68720 and 68730 and find the biggest common factor number .

Step-1: Prime Factorization of 68720

Prime factors of 68720 are 2, 5, 859. Prime factorization of 68720 in exponential form is:

68720 = 2⁴ × 5¹ × 859¹

Step-2: 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-3: Factors of 68720

List of positive integer factors of 68720 that divides 68720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 859, 1718, 3436, 4295, 6872, 8590, 13744, 17180, 34360

Step-4: Factors of 68730

List of positive integer factors of 68730 that divides 68720 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68720 and 68730. The biggest common factor number is the GCF number.
So the greatest common factor 68720 and 68730 is 10.

Also check out the Least Common Multiple of 68720 and 68730