What is the Greatest Common Factor of 68724 and 68741?

Greatest common factor (GCF) of 68724 and 68741 is 1.

GCF(68724,68741) = 1

We will now calculate the prime factors of 68724 and 68741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68724 and 68741.

How to find the GCF of 68724 and 68741?

We will first find the prime factorization of 68724 and 68741. After we will calculate the factors of 68724 and 68741 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 68741

Prime factors of 68741 are 53, 1297. Prime factorization of 68741 in exponential form is:

68741 = 53¹ × 1297¹

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 68741

List of positive integer factors of 68741 that divides 68724 without a remainder.

1, 53, 1297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68724 and 68741. The biggest common factor number is the GCF number.
So the greatest common factor 68724 and 68741 is 1.

Also check out the Least Common Multiple of 68724 and 68741