What is the Greatest Common Factor of 28301 and 28315?

Greatest common factor (GCF) of 28301 and 28315 is 7.

GCF(28301,28315) = 7

We will now calculate the prime factors of 28301 and 28315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28301 and 28315.

How to find the GCF of 28301 and 28315?

We will first find the prime factorization of 28301 and 28315. After we will calculate the factors of 28301 and 28315 and find the biggest common factor number .

Step-1: Prime Factorization of 28301

Prime factors of 28301 are 7, 13, 311. Prime factorization of 28301 in exponential form is:

28301 = 7¹ × 13¹ × 311¹

Step-2: Prime Factorization of 28315

Prime factors of 28315 are 5, 7, 809. Prime factorization of 28315 in exponential form is:

28315 = 5¹ × 7¹ × 809¹

Step-3: Factors of 28301

List of positive integer factors of 28301 that divides 28301 without a remainder.

1, 7, 13, 91, 311, 2177, 4043

Step-4: Factors of 28315

List of positive integer factors of 28315 that divides 28301 without a remainder.

1, 5, 7, 35, 809, 4045, 5663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28301 and 28315. The biggest common factor number is the GCF number.
So the greatest common factor 28301 and 28315 is 7.

Also check out the Least Common Multiple of 28301 and 28315