What is the Greatest Common Factor of 284 and 300?

Greatest common factor (GCF) of 284 and 300 is 4.

GCF(284,300) = 4

We will now calculate the prime factors of 284 and 300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 284 and 300.

How to find the GCF of 284 and 300?

We will first find the prime factorization of 284 and 300. After we will calculate the factors of 284 and 300 and find the biggest common factor number .

Step-1: Prime Factorization of 284

Prime factors of 284 are 2, 71. Prime factorization of 284 in exponential form is:

284 = 2² × 71¹

Step-2: Prime Factorization of 300

Prime factors of 300 are 2, 3, 5. Prime factorization of 300 in exponential form is:

300 = 2² × 3¹ × 5²

Step-3: Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142

Step-4: Factors of 300

List of positive integer factors of 300 that divides 284 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 284 and 300. The biggest common factor number is the GCF number.
So the greatest common factor 284 and 300 is 4.

Also check out the Least Common Multiple of 284 and 300