What is the Greatest Common Factor of 28520 and 28535?

Greatest common factor (GCF) of 28520 and 28535 is 5.

GCF(28520,28535) = 5

We will now calculate the prime factors of 28520 and 28535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28520 and 28535.

How to find the GCF of 28520 and 28535?

We will first find the prime factorization of 28520 and 28535. After we will calculate the factors of 28520 and 28535 and find the biggest common factor number .

Step-1: Prime Factorization of 28520

Prime factors of 28520 are 2, 5, 23, 31. Prime factorization of 28520 in exponential form is:

28520 = 2³ × 5¹ × 23¹ × 31¹

Step-2: Prime Factorization of 28535

Prime factors of 28535 are 5, 13, 439. Prime factorization of 28535 in exponential form is:

28535 = 5¹ × 13¹ × 439¹

Step-3: Factors of 28520

List of positive integer factors of 28520 that divides 28520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 31, 40, 46, 62, 92, 115, 124, 155, 184, 230, 248, 310, 460, 620, 713, 920, 1240, 1426, 2852, 3565, 5704, 7130, 14260

Step-4: Factors of 28535

List of positive integer factors of 28535 that divides 28520 without a remainder.

1, 5, 13, 65, 439, 2195, 5707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28520 and 28535. The biggest common factor number is the GCF number.
So the greatest common factor 28520 and 28535 is 5.

Also check out the Least Common Multiple of 28520 and 28535