What is the Greatest Common Factor of 28448 and 28465?

Greatest common factor (GCF) of 28448 and 28465 is 1.

GCF(28448,28465) = 1

We will now calculate the prime factors of 28448 and 28465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28448 and 28465.

How to find the GCF of 28448 and 28465?

We will first find the prime factorization of 28448 and 28465. After we will calculate the factors of 28448 and 28465 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 28465

Prime factors of 28465 are 5, 5693. Prime factorization of 28465 in exponential form is:

28465 = 5¹ × 5693¹

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 28465

List of positive integer factors of 28465 that divides 28448 without a remainder.

1, 5, 5693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28448 and 28465. The biggest common factor number is the GCF number.
So the greatest common factor 28448 and 28465 is 1.

Also check out the Least Common Multiple of 28448 and 28465