What is the Greatest Common Factor of 32706 and 32714?

Greatest common factor (GCF) of 32706 and 32714 is 2.

GCF(32706,32714) = 2

We will now calculate the prime factors of 32706 and 32714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32706 and 32714.

How to find the GCF of 32706 and 32714?

We will first find the prime factorization of 32706 and 32714. After we will calculate the factors of 32706 and 32714 and find the biggest common factor number .

Step-1: Prime Factorization of 32706

Prime factors of 32706 are 2, 3, 23, 79. Prime factorization of 32706 in exponential form is:

32706 = 2¹ × 3² × 23¹ × 79¹

Step-2: Prime Factorization of 32714

Prime factors of 32714 are 2, 11, 1487. Prime factorization of 32714 in exponential form is:

32714 = 2¹ × 11¹ × 1487¹

Step-3: Factors of 32706

List of positive integer factors of 32706 that divides 32706 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 79, 138, 158, 207, 237, 414, 474, 711, 1422, 1817, 3634, 5451, 10902, 16353

Step-4: Factors of 32714

List of positive integer factors of 32714 that divides 32706 without a remainder.

1, 2, 11, 22, 1487, 2974, 16357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32706 and 32714. The biggest common factor number is the GCF number.
So the greatest common factor 32706 and 32714 is 2.

Also check out the Least Common Multiple of 32706 and 32714