What is the Greatest Common Factor of 28448 and 28462?

Greatest common factor (GCF) of 28448 and 28462 is 14.

GCF(28448,28462) = 14

We will now calculate the prime factors of 28448 and 28462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28448 and 28462.

How to find the GCF of 28448 and 28462?

We will first find the prime factorization of 28448 and 28462. After we will calculate the factors of 28448 and 28462 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 28462

Prime factors of 28462 are 2, 7, 19, 107. Prime factorization of 28462 in exponential form is:

28462 = 2¹ × 7¹ × 19¹ × 107¹

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 28462

List of positive integer factors of 28462 that divides 28448 without a remainder.

1, 2, 7, 14, 19, 38, 107, 133, 214, 266, 749, 1498, 2033, 4066, 14231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28448 and 28462. The biggest common factor number is the GCF number.
So the greatest common factor 28448 and 28462 is 14.

Also check out the Least Common Multiple of 28448 and 28462