What is the Greatest Common Factor of 38706 and 38712?

Greatest common factor (GCF) of 38706 and 38712 is 6.

GCF(38706,38712) = 6

We will now calculate the prime factors of 38706 and 38712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38706 and 38712.

How to find the GCF of 38706 and 38712?

We will first find the prime factorization of 38706 and 38712. After we will calculate the factors of 38706 and 38712 and find the biggest common factor number .

Step-1: Prime Factorization of 38706

Prime factors of 38706 are 2, 3, 6451. Prime factorization of 38706 in exponential form is:

38706 = 2¹ × 3¹ × 6451¹

Step-2: Prime Factorization of 38712

Prime factors of 38712 are 2, 3, 1613. Prime factorization of 38712 in exponential form is:

38712 = 2³ × 3¹ × 1613¹

Step-3: Factors of 38706

List of positive integer factors of 38706 that divides 38706 without a remainder.

1, 2, 3, 6, 6451, 12902, 19353

Step-4: Factors of 38712

List of positive integer factors of 38712 that divides 38706 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1613, 3226, 4839, 6452, 9678, 12904, 19356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38706 and 38712. The biggest common factor number is the GCF number.
So the greatest common factor 38706 and 38712 is 6.

Also check out the Least Common Multiple of 38706 and 38712