What is the Greatest Common Factor of 28446 and 28457?

Greatest common factor (GCF) of 28446 and 28457 is 11.

GCF(28446,28457) = 11

We will now calculate the prime factors of 28446 and 28457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28446 and 28457.

How to find the GCF of 28446 and 28457?

We will first find the prime factorization of 28446 and 28457. After we will calculate the factors of 28446 and 28457 and find the biggest common factor number .

Step-1: Prime Factorization of 28446

Prime factors of 28446 are 2, 3, 11, 431. Prime factorization of 28446 in exponential form is:

28446 = 2¹ × 3¹ × 11¹ × 431¹

Step-2: Prime Factorization of 28457

Prime factors of 28457 are 11, 13, 199. Prime factorization of 28457 in exponential form is:

28457 = 11¹ × 13¹ × 199¹

Step-3: Factors of 28446

List of positive integer factors of 28446 that divides 28446 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 431, 862, 1293, 2586, 4741, 9482, 14223

Step-4: Factors of 28457

List of positive integer factors of 28457 that divides 28446 without a remainder.

1, 11, 13, 143, 199, 2189, 2587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28446 and 28457. The biggest common factor number is the GCF number.
So the greatest common factor 28446 and 28457 is 11.

Also check out the Least Common Multiple of 28446 and 28457