What is the Greatest Common Factor of 28365 and 28370?

Greatest common factor (GCF) of 28365 and 28370 is 5.

GCF(28365,28370) = 5

We will now calculate the prime factors of 28365 and 28370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28365 and 28370.

How to find the GCF of 28365 and 28370?

We will first find the prime factorization of 28365 and 28370. After we will calculate the factors of 28365 and 28370 and find the biggest common factor number .

Step-1: Prime Factorization of 28365

Prime factors of 28365 are 3, 5, 31, 61. Prime factorization of 28365 in exponential form is:

28365 = 3¹ × 5¹ × 31¹ × 61¹

Step-2: Prime Factorization of 28370

Prime factors of 28370 are 2, 5, 2837. Prime factorization of 28370 in exponential form is:

28370 = 2¹ × 5¹ × 2837¹

Step-3: Factors of 28365

List of positive integer factors of 28365 that divides 28365 without a remainder.

1, 3, 5, 15, 31, 61, 93, 155, 183, 305, 465, 915, 1891, 5673, 9455

Step-4: Factors of 28370

List of positive integer factors of 28370 that divides 28365 without a remainder.

1, 2, 5, 10, 2837, 5674, 14185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28365 and 28370. The biggest common factor number is the GCF number.
So the greatest common factor 28365 and 28370 is 5.

Also check out the Least Common Multiple of 28365 and 28370