What is the Greatest Common Factor of 4200 and 4211?

Greatest common factor (GCF) of 4200 and 4211 is 1.

GCF(4200,4211) = 1

We will now calculate the prime factors of 4200 and 4211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4200 and 4211.

How to find the GCF of 4200 and 4211?

We will first find the prime factorization of 4200 and 4211. After we will calculate the factors of 4200 and 4211 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 4211

Prime factors of 4211 are 4211. Prime factorization of 4211 in exponential form is:

4211 = 4211¹

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 4211

List of positive integer factors of 4211 that divides 4200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4200 and 4211. The biggest common factor number is the GCF number.
So the greatest common factor 4200 and 4211 is 1.

Also check out the Least Common Multiple of 4200 and 4211