What is the Greatest Common Factor of 68719 and 68724?

Greatest common factor (GCF) of 68719 and 68724 is 1.

GCF(68719,68724) = 1

We will now calculate the prime factors of 68719 and 68724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68719 and 68724.

How to find the GCF of 68719 and 68724?

We will first find the prime factorization of 68719 and 68724. After we will calculate the factors of 68719 and 68724 and find the biggest common factor number .

Step-1: Prime Factorization of 68719

Prime factors of 68719 are 7, 9817. Prime factorization of 68719 in exponential form is:

68719 = 7¹ × 9817¹

Step-2: 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-3: Factors of 68719

List of positive integer factors of 68719 that divides 68719 without a remainder.

1, 7, 9817

Step-4: Factors of 68724

List of positive integer factors of 68724 that divides 68719 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68719 and 68724. The biggest common factor number is the GCF number.
So the greatest common factor 68719 and 68724 is 1.

Also check out the Least Common Multiple of 68719 and 68724