What is the Greatest Common Factor of 84200 and 84210?

Greatest common factor (GCF) of 84200 and 84210 is 10.

GCF(84200,84210) = 10

We will now calculate the prime factors of 84200 and 84210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84200 and 84210.

How to find the GCF of 84200 and 84210?

We will first find the prime factorization of 84200 and 84210. After we will calculate the factors of 84200 and 84210 and find the biggest common factor number .

Step-1: Prime Factorization of 84200

Prime factors of 84200 are 2, 5, 421. Prime factorization of 84200 in exponential form is:

84200 = 2³ × 5² × 421¹

Step-2: Prime Factorization of 84210

Prime factors of 84210 are 2, 3, 5, 7, 401. Prime factorization of 84210 in exponential form is:

84210 = 2¹ × 3¹ × 5¹ × 7¹ × 401¹

Step-3: Factors of 84200

List of positive integer factors of 84200 that divides 84200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 421, 842, 1684, 2105, 3368, 4210, 8420, 10525, 16840, 21050, 42100

Step-4: Factors of 84210

List of positive integer factors of 84210 that divides 84200 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 401, 802, 1203, 2005, 2406, 2807, 4010, 5614, 6015, 8421, 12030, 14035, 16842, 28070, 42105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84200 and 84210. The biggest common factor number is the GCF number.
So the greatest common factor 84200 and 84210 is 10.

Also check out the Least Common Multiple of 84200 and 84210