What is the Greatest Common Factor of 68730 and 68750?

Greatest common factor (GCF) of 68730 and 68750 is 10.

GCF(68730,68750) = 10

We will now calculate the prime factors of 68730 and 68750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68730 and 68750.

How to find the GCF of 68730 and 68750?

We will first find the prime factorization of 68730 and 68750. After we will calculate the factors of 68730 and 68750 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 68750

Prime factors of 68750 are 2, 5, 11. Prime factorization of 68750 in exponential form is:

68750 = 2¹ × 5⁵ × 11¹

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 68750

List of positive integer factors of 68750 that divides 68730 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 625, 1250, 1375, 2750, 3125, 6250, 6875, 13750, 34375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68730 and 68750. The biggest common factor number is the GCF number.
So the greatest common factor 68730 and 68750 is 10.

Also check out the Least Common Multiple of 68730 and 68750