What is the Greatest Common Factor of 28435 and 28446?

Greatest common factor (GCF) of 28435 and 28446 is 11.

GCF(28435,28446) = 11

We will now calculate the prime factors of 28435 and 28446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28435 and 28446.

How to find the GCF of 28435 and 28446?

We will first find the prime factorization of 28435 and 28446. After we will calculate the factors of 28435 and 28446 and find the biggest common factor number .

Step-1: Prime Factorization of 28435

Prime factors of 28435 are 5, 11, 47. Prime factorization of 28435 in exponential form is:

28435 = 5¹ × 11² × 47¹

Step-2: 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-3: Factors of 28435

List of positive integer factors of 28435 that divides 28435 without a remainder.

1, 5, 11, 47, 55, 121, 235, 517, 605, 2585, 5687

Step-4: Factors of 28446

List of positive integer factors of 28446 that divides 28435 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28435 and 28446. The biggest common factor number is the GCF number.
So the greatest common factor 28435 and 28446 is 11.

Also check out the Least Common Multiple of 28435 and 28446