What is the Greatest Common Factor of 28630 and 28645?

Greatest common factor (GCF) of 28630 and 28645 is 5.

GCF(28630,28645) = 5

We will now calculate the prime factors of 28630 and 28645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28630 and 28645.

How to find the GCF of 28630 and 28645?

We will first find the prime factorization of 28630 and 28645. After we will calculate the factors of 28630 and 28645 and find the biggest common factor number .

Step-1: Prime Factorization of 28630

Prime factors of 28630 are 2, 5, 7, 409. Prime factorization of 28630 in exponential form is:

28630 = 2¹ × 5¹ × 7¹ × 409¹

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 28630

List of positive integer factors of 28630 that divides 28630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 409, 818, 2045, 2863, 4090, 5726, 14315

Step-4: Factors of 28645

List of positive integer factors of 28645 that divides 28630 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28630 and 28645. The biggest common factor number is the GCF number.
So the greatest common factor 28630 and 28645 is 5.

Also check out the Least Common Multiple of 28630 and 28645