What is the Greatest Common Factor of 28440 and 28448?

Greatest common factor (GCF) of 28440 and 28448 is 8.

GCF(28440,28448) = 8

We will now calculate the prime factors of 28440 and 28448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28440 and 28448.

How to find the GCF of 28440 and 28448?

We will first find the prime factorization of 28440 and 28448. After we will calculate the factors of 28440 and 28448 and find the biggest common factor number .

Step-1: Prime Factorization of 28440

Prime factors of 28440 are 2, 3, 5, 79. Prime factorization of 28440 in exponential form is:

28440 = 2³ × 3² × 5¹ × 79¹

Step-2: 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-3: Factors of 28440

List of positive integer factors of 28440 that divides 28440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 79, 90, 120, 158, 180, 237, 316, 360, 395, 474, 632, 711, 790, 948, 1185, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 4740, 5688, 7110, 9480, 14220

Step-4: Factors of 28448

List of positive integer factors of 28448 that divides 28440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28440 and 28448. The biggest common factor number is the GCF number.
So the greatest common factor 28440 and 28448 is 8.

Also check out the Least Common Multiple of 28440 and 28448