What is the Greatest Common Factor of 28516 and 28535?

Greatest common factor (GCF) of 28516 and 28535 is 1.

GCF(28516,28535) = 1

We will now calculate the prime factors of 28516 and 28535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28516 and 28535.

How to find the GCF of 28516 and 28535?

We will first find the prime factorization of 28516 and 28535. After we will calculate the factors of 28516 and 28535 and find the biggest common factor number .

Step-1: Prime Factorization of 28516

Prime factors of 28516 are 2, 7129. Prime factorization of 28516 in exponential form is:

28516 = 2² × 7129¹

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 28516

List of positive integer factors of 28516 that divides 28516 without a remainder.

1, 2, 4, 7129, 14258

Step-4: Factors of 28535

List of positive integer factors of 28535 that divides 28516 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28516 and 28535. The biggest common factor number is the GCF number.
So the greatest common factor 28516 and 28535 is 1.

Also check out the Least Common Multiple of 28516 and 28535