What is the Greatest Common Factor of 28485 and 28497?

Greatest common factor (GCF) of 28485 and 28497 is 3.

GCF(28485,28497) = 3

We will now calculate the prime factors of 28485 and 28497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28485 and 28497.

How to find the GCF of 28485 and 28497?

We will first find the prime factorization of 28485 and 28497. After we will calculate the factors of 28485 and 28497 and find the biggest common factor number .

Step-1: Prime Factorization of 28485

Prime factors of 28485 are 3, 5, 211. Prime factorization of 28485 in exponential form is:

28485 = 3³ × 5¹ × 211¹

Step-2: Prime Factorization of 28497

Prime factors of 28497 are 3, 7, 23, 59. Prime factorization of 28497 in exponential form is:

28497 = 3¹ × 7¹ × 23¹ × 59¹

Step-3: Factors of 28485

List of positive integer factors of 28485 that divides 28485 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 211, 633, 1055, 1899, 3165, 5697, 9495

Step-4: Factors of 28497

List of positive integer factors of 28497 that divides 28485 without a remainder.

1, 3, 7, 21, 23, 59, 69, 161, 177, 413, 483, 1239, 1357, 4071, 9499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28485 and 28497. The biggest common factor number is the GCF number.
So the greatest common factor 28485 and 28497 is 3.

Also check out the Least Common Multiple of 28485 and 28497