What is the Greatest Common Factor of 4200 and 4206?

Greatest common factor (GCF) of 4200 and 4206 is 6.

GCF(4200,4206) = 6

We will now calculate the prime factors of 4200 and 4206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4200 and 4206.

How to find the GCF of 4200 and 4206?

We will first find the prime factorization of 4200 and 4206. After we will calculate the factors of 4200 and 4206 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4206

Prime factors of 4206 are 2, 3, 701. Prime factorization of 4206 in exponential form is:

4206 = 2¹ × 3¹ × 701¹

Step-3: Factors of 4200

List of positive integer factors of 4200 that divides 4200 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

Step-4: Factors of 4206

List of positive integer factors of 4206 that divides 4200 without a remainder.

1, 2, 3, 6, 701, 1402, 2103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4200 and 4206. The biggest common factor number is the GCF number.
So the greatest common factor 4200 and 4206 is 6.

Also check out the Least Common Multiple of 4200 and 4206