What is the Greatest Common Factor of 68704 and 68712?

Greatest common factor (GCF) of 68704 and 68712 is 8.

GCF(68704,68712) = 8

We will now calculate the prime factors of 68704 and 68712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68704 and 68712.

How to find the GCF of 68704 and 68712?

We will first find the prime factorization of 68704 and 68712. After we will calculate the factors of 68704 and 68712 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 68712

Prime factors of 68712 are 2, 3, 7, 409. Prime factorization of 68712 in exponential form is:

68712 = 2³ × 3¹ × 7¹ × 409¹

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 68712

List of positive integer factors of 68712 that divides 68704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 409, 818, 1227, 1636, 2454, 2863, 3272, 4908, 5726, 8589, 9816, 11452, 17178, 22904, 34356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68704 and 68712. The biggest common factor number is the GCF number.
So the greatest common factor 68704 and 68712 is 8.

Also check out the Least Common Multiple of 68704 and 68712