What is the Greatest Common Factor of 68704 and 68723?

Greatest common factor (GCF) of 68704 and 68723 is 19.

GCF(68704,68723) = 19

We will now calculate the prime factors of 68704 and 68723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68704 and 68723.

How to find the GCF of 68704 and 68723?

We will first find the prime factorization of 68704 and 68723. After we will calculate the factors of 68704 and 68723 and find the biggest common factor number .

Step-1: Prime Factorization of 68704

Prime factors of 68704 are 2, 19, 113. Prime factorization of 68704 in exponential form is:

68704 = 2⁵ × 19¹ × 113¹

Step-2: Prime Factorization of 68723

Prime factors of 68723 are 19, 3617. Prime factorization of 68723 in exponential form is:

68723 = 19¹ × 3617¹

Step-3: Factors of 68704

List of positive integer factors of 68704 that divides 68704 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 113, 152, 226, 304, 452, 608, 904, 1808, 2147, 3616, 4294, 8588, 17176, 34352

Step-4: Factors of 68723

List of positive integer factors of 68723 that divides 68704 without a remainder.

1, 19, 3617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68704 and 68723. The biggest common factor number is the GCF number.
So the greatest common factor 68704 and 68723 is 19.

Also check out the Least Common Multiple of 68704 and 68723