What is the Greatest Common Factor of 28540 and 28550?

Greatest common factor (GCF) of 28540 and 28550 is 10.

GCF(28540,28550) = 10

We will now calculate the prime factors of 28540 and 28550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28540 and 28550.

How to find the GCF of 28540 and 28550?

We will first find the prime factorization of 28540 and 28550. After we will calculate the factors of 28540 and 28550 and find the biggest common factor number .

Step-1: Prime Factorization of 28540

Prime factors of 28540 are 2, 5, 1427. Prime factorization of 28540 in exponential form is:

28540 = 2² × 5¹ × 1427¹

Step-2: Prime Factorization of 28550

Prime factors of 28550 are 2, 5, 571. Prime factorization of 28550 in exponential form is:

28550 = 2¹ × 5² × 571¹

Step-3: Factors of 28540

List of positive integer factors of 28540 that divides 28540 without a remainder.

1, 2, 4, 5, 10, 20, 1427, 2854, 5708, 7135, 14270

Step-4: Factors of 28550

List of positive integer factors of 28550 that divides 28540 without a remainder.

1, 2, 5, 10, 25, 50, 571, 1142, 2855, 5710, 14275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28540 and 28550. The biggest common factor number is the GCF number.
So the greatest common factor 28540 and 28550 is 10.

Also check out the Least Common Multiple of 28540 and 28550