What is the Greatest Common Factor of 28635 and 28645?

Greatest common factor (GCF) of 28635 and 28645 is 5.

GCF(28635,28645) = 5

We will now calculate the prime factors of 28635 and 28645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28635 and 28645.

How to find the GCF of 28635 and 28645?

We will first find the prime factorization of 28635 and 28645. After we will calculate the factors of 28635 and 28645 and find the biggest common factor number .

Step-1: Prime Factorization of 28635

Prime factors of 28635 are 3, 5, 23, 83. Prime factorization of 28635 in exponential form is:

28635 = 3¹ × 5¹ × 23¹ × 83¹

Step-2: Prime Factorization of 28645

Prime factors of 28645 are 5, 17, 337. Prime factorization of 28645 in exponential form is:

28645 = 5¹ × 17¹ × 337¹

Step-3: Factors of 28635

List of positive integer factors of 28635 that divides 28635 without a remainder.

1, 3, 5, 15, 23, 69, 83, 115, 249, 345, 415, 1245, 1909, 5727, 9545

Step-4: Factors of 28645

List of positive integer factors of 28645 that divides 28635 without a remainder.

1, 5, 17, 85, 337, 1685, 5729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28635 and 28645. The biggest common factor number is the GCF number.
So the greatest common factor 28635 and 28645 is 5.

Also check out the Least Common Multiple of 28635 and 28645