What is the Greatest Common Factor of 28480 and 28499?

Greatest common factor (GCF) of 28480 and 28499 is 1.

GCF(28480,28499) = 1

We will now calculate the prime factors of 28480 and 28499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28480 and 28499.

How to find the GCF of 28480 and 28499?

We will first find the prime factorization of 28480 and 28499. After we will calculate the factors of 28480 and 28499 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28499

Prime factors of 28499 are 28499. Prime factorization of 28499 in exponential form is:

28499 = 28499¹

Step-3: Factors of 28480

List of positive integer factors of 28480 that divides 28480 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

Step-4: Factors of 28499

List of positive integer factors of 28499 that divides 28480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28480 and 28499. The biggest common factor number is the GCF number.
So the greatest common factor 28480 and 28499 is 1.

Also check out the Least Common Multiple of 28480 and 28499