What is the Greatest Common Factor of 68725 and 68730?

Greatest common factor (GCF) of 68725 and 68730 is 5.

GCF(68725,68730) = 5

We will now calculate the prime factors of 68725 and 68730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68725 and 68730.

How to find the GCF of 68725 and 68730?

We will first find the prime factorization of 68725 and 68730. After we will calculate the factors of 68725 and 68730 and find the biggest common factor number .

Step-1: Prime Factorization of 68725

Prime factors of 68725 are 5, 2749. Prime factorization of 68725 in exponential form is:

68725 = 5² × 2749¹

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 68725

List of positive integer factors of 68725 that divides 68725 without a remainder.

1, 5, 25, 2749, 13745

Step-4: Factors of 68730

List of positive integer factors of 68730 that divides 68725 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 68725 and 68730. The biggest common factor number is the GCF number.
So the greatest common factor 68725 and 68730 is 5.

Also check out the Least Common Multiple of 68725 and 68730