What is the Greatest Common Factor of 68724 and 68729?

Greatest common factor (GCF) of 68724 and 68729 is 1.

GCF(68724,68729) = 1

We will now calculate the prime factors of 68724 and 68729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68724 and 68729.

How to find the GCF of 68724 and 68729?

We will first find the prime factorization of 68724 and 68729. After we will calculate the factors of 68724 and 68729 and find the biggest common factor number .

Step-1: Prime Factorization of 68724

Prime factors of 68724 are 2, 3, 23, 83. Prime factorization of 68724 in exponential form is:

68724 = 2² × 3² × 23¹ × 83¹

Step-2: Prime Factorization of 68729

Prime factors of 68729 are 68729. Prime factorization of 68729 in exponential form is:

68729 = 68729¹

Step-3: Factors of 68724

List of positive integer factors of 68724 that divides 68724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 83, 92, 138, 166, 207, 249, 276, 332, 414, 498, 747, 828, 996, 1494, 1909, 2988, 3818, 5727, 7636, 11454, 17181, 22908, 34362

Step-4: Factors of 68729

List of positive integer factors of 68729 that divides 68724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68724 and 68729. The biggest common factor number is the GCF number.
So the greatest common factor 68724 and 68729 is 1.

Also check out the Least Common Multiple of 68724 and 68729