What is the Greatest Common Factor of 28480 and 28493?

Greatest common factor (GCF) of 28480 and 28493 is 1.

GCF(28480,28493) = 1

We will now calculate the prime factors of 28480 and 28493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28480 and 28493.

How to find the GCF of 28480 and 28493?

We will first find the prime factorization of 28480 and 28493. After we will calculate the factors of 28480 and 28493 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 28493

Prime factors of 28493 are 28493. Prime factorization of 28493 in exponential form is:

28493 = 28493¹

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 28493

List of positive integer factors of 28493 that divides 28480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28480 and 28493. The biggest common factor number is the GCF number.
So the greatest common factor 28480 and 28493 is 1.

Also check out the Least Common Multiple of 28480 and 28493