What is the Greatest Common Factor of 28448 and 28455?

Greatest common factor (GCF) of 28448 and 28455 is 7.

GCF(28448,28455) = 7

We will now calculate the prime factors of 28448 and 28455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28448 and 28455.

How to find the GCF of 28448 and 28455?

We will first find the prime factorization of 28448 and 28455. After we will calculate the factors of 28448 and 28455 and find the biggest common factor number .

Step-1: Prime Factorization of 28448

Prime factors of 28448 are 2, 7, 127. Prime factorization of 28448 in exponential form is:

28448 = 2⁵ × 7¹ × 127¹

Step-2: 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-3: Factors of 28448

List of positive integer factors of 28448 that divides 28448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 127, 224, 254, 508, 889, 1016, 1778, 2032, 3556, 4064, 7112, 14224

Step-4: Factors of 28455

List of positive integer factors of 28455 that divides 28448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28448 and 28455. The biggest common factor number is the GCF number.
So the greatest common factor 28448 and 28455 is 7.

Also check out the Least Common Multiple of 28448 and 28455