What is the Greatest Common Factor of 28706 and 28710?

Greatest common factor (GCF) of 28706 and 28710 is 2.

GCF(28706,28710) = 2

We will now calculate the prime factors of 28706 and 28710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28706 and 28710.

How to find the GCF of 28706 and 28710?

We will first find the prime factorization of 28706 and 28710. After we will calculate the factors of 28706 and 28710 and find the biggest common factor number .

Step-1: Prime Factorization of 28706

Prime factors of 28706 are 2, 31, 463. Prime factorization of 28706 in exponential form is:

28706 = 2¹ × 31¹ × 463¹

Step-2: Prime Factorization of 28710

Prime factors of 28710 are 2, 3, 5, 11, 29. Prime factorization of 28710 in exponential form is:

28710 = 2¹ × 3² × 5¹ × 11¹ × 29¹

Step-3: Factors of 28706

List of positive integer factors of 28706 that divides 28706 without a remainder.

1, 2, 31, 62, 463, 926, 14353

Step-4: Factors of 28710

List of positive integer factors of 28710 that divides 28706 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 29, 30, 33, 45, 55, 58, 66, 87, 90, 99, 110, 145, 165, 174, 198, 261, 290, 319, 330, 435, 495, 522, 638, 870, 957, 990, 1305, 1595, 1914, 2610, 2871, 3190, 4785, 5742, 9570, 14355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28706 and 28710. The biggest common factor number is the GCF number.
So the greatest common factor 28706 and 28710 is 2.

Also check out the Least Common Multiple of 28706 and 28710