What is the Greatest Common Factor of 28460 and 28480?

Greatest common factor (GCF) of 28460 and 28480 is 20.

GCF(28460,28480) = 20

We will now calculate the prime factors of 28460 and 28480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28460 and 28480.

How to find the GCF of 28460 and 28480?

We will first find the prime factorization of 28460 and 28480. After we will calculate the factors of 28460 and 28480 and find the biggest common factor number .

Step-1: Prime Factorization of 28460

Prime factors of 28460 are 2, 5, 1423. Prime factorization of 28460 in exponential form is:

28460 = 2² × 5¹ × 1423¹

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 28460

List of positive integer factors of 28460 that divides 28460 without a remainder.

1, 2, 4, 5, 10, 20, 1423, 2846, 5692, 7115, 14230

Step-4: Factors of 28480

List of positive integer factors of 28480 that divides 28460 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 28460 and 28480. The biggest common factor number is the GCF number.
So the greatest common factor 28460 and 28480 is 20.

Also check out the Least Common Multiple of 28460 and 28480