What is the Greatest Common Factor of 28455 and 28464?

Greatest common factor (GCF) of 28455 and 28464 is 3.

GCF(28455,28464) = 3

We will now calculate the prime factors of 28455 and 28464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28455 and 28464.

How to find the GCF of 28455 and 28464?

We will first find the prime factorization of 28455 and 28464. After we will calculate the factors of 28455 and 28464 and find the biggest common factor number .

Step-1: Prime Factorization of 28455

Prime factors of 28455 are 3, 5, 7, 271. Prime factorization of 28455 in exponential form is:

28455 = 3¹ × 5¹ × 7¹ × 271¹

Step-2: Prime Factorization of 28464

Prime factors of 28464 are 2, 3, 593. Prime factorization of 28464 in exponential form is:

28464 = 2⁴ × 3¹ × 593¹

Step-3: Factors of 28455

List of positive integer factors of 28455 that divides 28455 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 271, 813, 1355, 1897, 4065, 5691, 9485

Step-4: Factors of 28464

List of positive integer factors of 28464 that divides 28455 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28455 and 28464. The biggest common factor number is the GCF number.
So the greatest common factor 28455 and 28464 is 3.

Also check out the Least Common Multiple of 28455 and 28464