What is the Greatest Common Factor of 28552 and 28566?

Greatest common factor (GCF) of 28552 and 28566 is 2.

GCF(28552,28566) = 2

We will now calculate the prime factors of 28552 and 28566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28552 and 28566.

How to find the GCF of 28552 and 28566?

We will first find the prime factorization of 28552 and 28566. After we will calculate the factors of 28552 and 28566 and find the biggest common factor number .

Step-1: Prime Factorization of 28552

Prime factors of 28552 are 2, 43, 83. Prime factorization of 28552 in exponential form is:

28552 = 2³ × 43¹ × 83¹

Step-2: Prime Factorization of 28566

Prime factors of 28566 are 2, 3, 23. Prime factorization of 28566 in exponential form is:

28566 = 2¹ × 3³ × 23²

Step-3: Factors of 28552

List of positive integer factors of 28552 that divides 28552 without a remainder.

1, 2, 4, 8, 43, 83, 86, 166, 172, 332, 344, 664, 3569, 7138, 14276

Step-4: Factors of 28566

List of positive integer factors of 28566 that divides 28552 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 529, 621, 1058, 1242, 1587, 3174, 4761, 9522, 14283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28552 and 28566. The biggest common factor number is the GCF number.
So the greatest common factor 28552 and 28566 is 2.

Also check out the Least Common Multiple of 28552 and 28566