What is the Greatest Common Factor of 84196 and 84210?

Greatest common factor (GCF) of 84196 and 84210 is 14.

GCF(84196,84210) = 14

We will now calculate the prime factors of 84196 and 84210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84196 and 84210.

How to find the GCF of 84196 and 84210?

We will first find the prime factorization of 84196 and 84210. After we will calculate the factors of 84196 and 84210 and find the biggest common factor number .

Step-1: Prime Factorization of 84196

Prime factors of 84196 are 2, 7, 31, 97. Prime factorization of 84196 in exponential form is:

84196 = 2² × 7¹ × 31¹ × 97¹

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 84196

List of positive integer factors of 84196 that divides 84196 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 97, 124, 194, 217, 388, 434, 679, 868, 1358, 2716, 3007, 6014, 12028, 21049, 42098

Step-4: Factors of 84210

List of positive integer factors of 84210 that divides 84196 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 84196 and 84210. The biggest common factor number is the GCF number.
So the greatest common factor 84196 and 84210 is 14.

Also check out the Least Common Multiple of 84196 and 84210