What is the Greatest Common Factor of 68472 and 68478?

Greatest common factor (GCF) of 68472 and 68478 is 6.

GCF(68472,68478) = 6

We will now calculate the prime factors of 68472 and 68478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68472 and 68478.

How to find the GCF of 68472 and 68478?

We will first find the prime factorization of 68472 and 68478. After we will calculate the factors of 68472 and 68478 and find the biggest common factor number .

Step-1: Prime Factorization of 68472

Prime factors of 68472 are 2, 3, 317. Prime factorization of 68472 in exponential form is:

68472 = 2³ × 3³ × 317¹

Step-2: Prime Factorization of 68478

Prime factors of 68478 are 2, 3, 101, 113. Prime factorization of 68478 in exponential form is:

68478 = 2¹ × 3¹ × 101¹ × 113¹

Step-3: Factors of 68472

List of positive integer factors of 68472 that divides 68472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5706, 7608, 8559, 11412, 17118, 22824, 34236

Step-4: Factors of 68478

List of positive integer factors of 68478 that divides 68472 without a remainder.

1, 2, 3, 6, 101, 113, 202, 226, 303, 339, 606, 678, 11413, 22826, 34239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68472 and 68478. The biggest common factor number is the GCF number.
So the greatest common factor 68472 and 68478 is 6.

Also check out the Least Common Multiple of 68472 and 68478