What is the Greatest Common Factor of 28365 and 28374?

Greatest common factor (GCF) of 28365 and 28374 is 3.

GCF(28365,28374) = 3

We will now calculate the prime factors of 28365 and 28374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28365 and 28374.

How to find the GCF of 28365 and 28374?

We will first find the prime factorization of 28365 and 28374. After we will calculate the factors of 28365 and 28374 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 28374

Prime factors of 28374 are 2, 3, 4729. Prime factorization of 28374 in exponential form is:

28374 = 2¹ × 3¹ × 4729¹

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 28374

List of positive integer factors of 28374 that divides 28365 without a remainder.

1, 2, 3, 6, 4729, 9458, 14187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28365 and 28374. The biggest common factor number is the GCF number.
So the greatest common factor 28365 and 28374 is 3.

Also check out the Least Common Multiple of 28365 and 28374