What is the Greatest Common Factor of 81204 and 81210?

Greatest common factor (GCF) of 81204 and 81210 is 6.

GCF(81204,81210) = 6

We will now calculate the prime factors of 81204 and 81210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81204 and 81210.

How to find the GCF of 81204 and 81210?

We will first find the prime factorization of 81204 and 81210. After we will calculate the factors of 81204 and 81210 and find the biggest common factor number .

Step-1: Prime Factorization of 81204

Prime factors of 81204 are 2, 3, 67, 101. Prime factorization of 81204 in exponential form is:

81204 = 2² × 3¹ × 67¹ × 101¹

Step-2: Prime Factorization of 81210

Prime factors of 81210 are 2, 3, 5, 2707. Prime factorization of 81210 in exponential form is:

81210 = 2¹ × 3¹ × 5¹ × 2707¹

Step-3: Factors of 81204

List of positive integer factors of 81204 that divides 81204 without a remainder.

1, 2, 3, 4, 6, 12, 67, 101, 134, 201, 202, 268, 303, 402, 404, 606, 804, 1212, 6767, 13534, 20301, 27068, 40602

Step-4: Factors of 81210

List of positive integer factors of 81210 that divides 81204 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2707, 5414, 8121, 13535, 16242, 27070, 40605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81204 and 81210. The biggest common factor number is the GCF number.
So the greatest common factor 81204 and 81210 is 6.

Also check out the Least Common Multiple of 81204 and 81210