What is the Greatest Common Factor of 68706 and 68724?

Greatest common factor (GCF) of 68706 and 68724 is 18.

GCF(68706,68724) = 18

We will now calculate the prime factors of 68706 and 68724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68706 and 68724.

How to find the GCF of 68706 and 68724?

We will first find the prime factorization of 68706 and 68724. After we will calculate the factors of 68706 and 68724 and find the biggest common factor number .

Step-1: Prime Factorization of 68706

Prime factors of 68706 are 2, 3, 11, 347. Prime factorization of 68706 in exponential form is:

68706 = 2¹ × 3² × 11¹ × 347¹

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 68706

List of positive integer factors of 68706 that divides 68706 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 347, 694, 1041, 2082, 3123, 3817, 6246, 7634, 11451, 22902, 34353

Step-4: Factors of 68724

List of positive integer factors of 68724 that divides 68706 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 68706 and 68724. The biggest common factor number is the GCF number.
So the greatest common factor 68706 and 68724 is 18.

Also check out the Least Common Multiple of 68706 and 68724