What is the Greatest Common Factor of 4284 and 4300?

Greatest common factor (GCF) of 4284 and 4300 is 4.

GCF(4284,4300) = 4

We will now calculate the prime factors of 4284 and 4300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4284 and 4300.

How to find the GCF of 4284 and 4300?

We will first find the prime factorization of 4284 and 4300. After we will calculate the factors of 4284 and 4300 and find the biggest common factor number .

Step-1: Prime Factorization of 4284

Prime factors of 4284 are 2, 3, 7, 17. Prime factorization of 4284 in exponential form is:

4284 = 2² × 3² × 7¹ × 17¹

Step-2: Prime Factorization of 4300

Prime factors of 4300 are 2, 5, 43. Prime factorization of 4300 in exponential form is:

4300 = 2² × 5² × 43¹

Step-3: Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142

Step-4: Factors of 4300

List of positive integer factors of 4300 that divides 4284 without a remainder.

1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4284 and 4300. The biggest common factor number is the GCF number.
So the greatest common factor 4284 and 4300 is 4.

Also check out the Least Common Multiple of 4284 and 4300