What is the Greatest Common Factor of 4184 and 4200?

Greatest common factor (GCF) of 4184 and 4200 is 8.

GCF(4184,4200) = 8

We will now calculate the prime factors of 4184 and 4200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4184 and 4200.

How to find the GCF of 4184 and 4200?

We will first find the prime factorization of 4184 and 4200. After we will calculate the factors of 4184 and 4200 and find the biggest common factor number .

Step-1: Prime Factorization of 4184

Prime factors of 4184 are 2, 523. Prime factorization of 4184 in exponential form is:

4184 = 2³ × 523¹

Step-2: Prime Factorization of 4200

Prime factors of 4200 are 2, 3, 5, 7. Prime factorization of 4200 in exponential form is:

4200 = 2³ × 3¹ × 5² × 7¹

Step-3: Factors of 4184

List of positive integer factors of 4184 that divides 4184 without a remainder.

1, 2, 4, 8, 523, 1046, 2092

Step-4: Factors of 4200

List of positive integer factors of 4200 that divides 4184 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4184 and 4200. The biggest common factor number is the GCF number.
So the greatest common factor 4184 and 4200 is 8.

Also check out the Least Common Multiple of 4184 and 4200