What is the Greatest Common Factor of 68705 and 68712?

Greatest common factor (GCF) of 68705 and 68712 is 7.

GCF(68705,68712) = 7

We will now calculate the prime factors of 68705 and 68712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68705 and 68712.

How to find the GCF of 68705 and 68712?

We will first find the prime factorization of 68705 and 68712. After we will calculate the factors of 68705 and 68712 and find the biggest common factor number .

Step-1: Prime Factorization of 68705

Prime factors of 68705 are 5, 7, 13, 151. Prime factorization of 68705 in exponential form is:

68705 = 5¹ × 7¹ × 13¹ × 151¹

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 68705

List of positive integer factors of 68705 that divides 68705 without a remainder.

1, 5, 7, 13, 35, 65, 91, 151, 455, 755, 1057, 1963, 5285, 9815, 13741

Step-4: Factors of 68712

List of positive integer factors of 68712 that divides 68705 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 68705 and 68712. The biggest common factor number is the GCF number.
So the greatest common factor 68705 and 68712 is 7.

Also check out the Least Common Multiple of 68705 and 68712