What is the Greatest Common Factor of 28746 and 28764?

Greatest common factor (GCF) of 28746 and 28764 is 18.

GCF(28746,28764) = 18

We will now calculate the prime factors of 28746 and 28764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28746 and 28764.

How to find the GCF of 28746 and 28764?

We will first find the prime factorization of 28746 and 28764. After we will calculate the factors of 28746 and 28764 and find the biggest common factor number .

Step-1: Prime Factorization of 28746

Prime factors of 28746 are 2, 3, 1597. Prime factorization of 28746 in exponential form is:

28746 = 2¹ × 3² × 1597¹

Step-2: Prime Factorization of 28764

Prime factors of 28764 are 2, 3, 17, 47. Prime factorization of 28764 in exponential form is:

28764 = 2² × 3² × 17¹ × 47¹

Step-3: Factors of 28746

List of positive integer factors of 28746 that divides 28746 without a remainder.

1, 2, 3, 6, 9, 18, 1597, 3194, 4791, 9582, 14373

Step-4: Factors of 28764

List of positive integer factors of 28764 that divides 28746 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 47, 51, 68, 94, 102, 141, 153, 188, 204, 282, 306, 423, 564, 612, 799, 846, 1598, 1692, 2397, 3196, 4794, 7191, 9588, 14382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28746 and 28764. The biggest common factor number is the GCF number.
So the greatest common factor 28746 and 28764 is 18.

Also check out the Least Common Multiple of 28746 and 28764