What is the Greatest Common Factor of 28464 and 28480?

Greatest common factor (GCF) of 28464 and 28480 is 16.

GCF(28464,28480) = 16

We will now calculate the prime factors of 28464 and 28480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28464 and 28480.

How to find the GCF of 28464 and 28480?

We will first find the prime factorization of 28464 and 28480. After we will calculate the factors of 28464 and 28480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28480

Prime factors of 28480 are 2, 5, 89. Prime factorization of 28480 in exponential form is:

28480 = 2⁶ × 5¹ × 89¹

Step-3: Factors of 28464

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

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

Step-4: Factors of 28480

List of positive integer factors of 28480 that divides 28464 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 89, 160, 178, 320, 356, 445, 712, 890, 1424, 1780, 2848, 3560, 5696, 7120, 14240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28464 and 28480. The biggest common factor number is the GCF number.
So the greatest common factor 28464 and 28480 is 16.

Also check out the Least Common Multiple of 28464 and 28480