What is the Greatest Common Factor of 28480 and 28487?

Greatest common factor (GCF) of 28480 and 28487 is 1.

GCF(28480,28487) = 1

We will now calculate the prime factors of 28480 and 28487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28480 and 28487.

How to find the GCF of 28480 and 28487?

We will first find the prime factorization of 28480 and 28487. After we will calculate the factors of 28480 and 28487 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 28487

Prime factors of 28487 are 61, 467. Prime factorization of 28487 in exponential form is:

28487 = 61¹ × 467¹

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 28487

List of positive integer factors of 28487 that divides 28480 without a remainder.

1, 61, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28480 and 28487. The biggest common factor number is the GCF number.
So the greatest common factor 28480 and 28487 is 1.

Also check out the Least Common Multiple of 28480 and 28487