What is the Greatest Common Factor of 4233 and 4250?

Greatest common factor (GCF) of 4233 and 4250 is 17.

GCF(4233,4250) = 17

We will now calculate the prime factors of 4233 and 4250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4233 and 4250.

How to find the GCF of 4233 and 4250?

We will first find the prime factorization of 4233 and 4250. After we will calculate the factors of 4233 and 4250 and find the biggest common factor number .

Step-1: Prime Factorization of 4233

Prime factors of 4233 are 3, 17, 83. Prime factorization of 4233 in exponential form is:

4233 = 3¹ × 17¹ × 83¹

Step-2: Prime Factorization of 4250

Prime factors of 4250 are 2, 5, 17. Prime factorization of 4250 in exponential form is:

4250 = 2¹ × 5³ × 17¹

Step-3: Factors of 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1, 3, 17, 51, 83, 249, 1411

Step-4: Factors of 4250

List of positive integer factors of 4250 that divides 4233 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4233 and 4250. The biggest common factor number is the GCF number.
So the greatest common factor 4233 and 4250 is 17.

Also check out the Least Common Multiple of 4233 and 4250