What is the Greatest Common Factor of 67204 and 67210?

Greatest common factor (GCF) of 67204 and 67210 is 2.

GCF(67204,67210) = 2

We will now calculate the prime factors of 67204 and 67210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67204 and 67210.

How to find the GCF of 67204 and 67210?

We will first find the prime factorization of 67204 and 67210. After we will calculate the factors of 67204 and 67210 and find the biggest common factor number .

Step-1: Prime Factorization of 67204

Prime factors of 67204 are 2, 53, 317. Prime factorization of 67204 in exponential form is:

67204 = 2² × 53¹ × 317¹

Step-2: Prime Factorization of 67210

Prime factors of 67210 are 2, 5, 11, 13, 47. Prime factorization of 67210 in exponential form is:

67210 = 2¹ × 5¹ × 11¹ × 13¹ × 47¹

Step-3: Factors of 67204

List of positive integer factors of 67204 that divides 67204 without a remainder.

1, 2, 4, 53, 106, 212, 317, 634, 1268, 16801, 33602

Step-4: Factors of 67210

List of positive integer factors of 67210 that divides 67204 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 47, 55, 65, 94, 110, 130, 143, 235, 286, 470, 517, 611, 715, 1034, 1222, 1430, 2585, 3055, 5170, 6110, 6721, 13442, 33605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67204 and 67210. The biggest common factor number is the GCF number.
So the greatest common factor 67204 and 67210 is 2.

Also check out the Least Common Multiple of 67204 and 67210