What is the Greatest Common Factor of 28365 and 28378?

Greatest common factor (GCF) of 28365 and 28378 is 1.

GCF(28365,28378) = 1

We will now calculate the prime factors of 28365 and 28378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28365 and 28378.

How to find the GCF of 28365 and 28378?

We will first find the prime factorization of 28365 and 28378. After we will calculate the factors of 28365 and 28378 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 28378

Prime factors of 28378 are 2, 7, 2027. Prime factorization of 28378 in exponential form is:

28378 = 2¹ × 7¹ × 2027¹

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 28378

List of positive integer factors of 28378 that divides 28365 without a remainder.

1, 2, 7, 14, 2027, 4054, 14189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28365 and 28378. The biggest common factor number is the GCF number.
So the greatest common factor 28365 and 28378 is 1.

Also check out the Least Common Multiple of 28365 and 28378