What is the Greatest Common Factor of 20706 and 20712?

Greatest common factor (GCF) of 20706 and 20712 is 6.

GCF(20706,20712) = 6

We will now calculate the prime factors of 20706 and 20712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20706 and 20712.

How to find the GCF of 20706 and 20712?

We will first find the prime factorization of 20706 and 20712. After we will calculate the factors of 20706 and 20712 and find the biggest common factor number .

Step-1: Prime Factorization of 20706

Prime factors of 20706 are 2, 3, 7, 17, 29. Prime factorization of 20706 in exponential form is:

20706 = 2¹ × 3¹ × 7¹ × 17¹ × 29¹

Step-2: Prime Factorization of 20712

Prime factors of 20712 are 2, 3, 863. Prime factorization of 20712 in exponential form is:

20712 = 2³ × 3¹ × 863¹

Step-3: Factors of 20706

List of positive integer factors of 20706 that divides 20706 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 29, 34, 42, 51, 58, 87, 102, 119, 174, 203, 238, 357, 406, 493, 609, 714, 986, 1218, 1479, 2958, 3451, 6902, 10353

Step-4: Factors of 20712

List of positive integer factors of 20712 that divides 20706 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 863, 1726, 2589, 3452, 5178, 6904, 10356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20706 and 20712. The biggest common factor number is the GCF number.
So the greatest common factor 20706 and 20712 is 6.

Also check out the Least Common Multiple of 20706 and 20712