What is the Greatest Common Factor of 67461 and 67473?

Greatest common factor (GCF) of 67461 and 67473 is 3.

GCF(67461,67473) = 3

We will now calculate the prime factors of 67461 and 67473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67461 and 67473.

How to find the GCF of 67461 and 67473?

We will first find the prime factorization of 67461 and 67473. After we will calculate the factors of 67461 and 67473 and find the biggest common factor number .

Step-1: Prime Factorization of 67461

Prime factors of 67461 are 3, 113, 199. Prime factorization of 67461 in exponential form is:

67461 = 3¹ × 113¹ × 199¹

Step-2: Prime Factorization of 67473

Prime factors of 67473 are 3, 7, 17. Prime factorization of 67473 in exponential form is:

67473 = 3⁴ × 7² × 17¹

Step-3: Factors of 67461

List of positive integer factors of 67461 that divides 67461 without a remainder.

1, 3, 113, 199, 339, 597, 22487

Step-4: Factors of 67473

List of positive integer factors of 67473 that divides 67461 without a remainder.

1, 3, 7, 9, 17, 21, 27, 49, 51, 63, 81, 119, 147, 153, 189, 357, 441, 459, 567, 833, 1071, 1323, 1377, 2499, 3213, 3969, 7497, 9639, 22491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67461 and 67473. The biggest common factor number is the GCF number.
So the greatest common factor 67461 and 67473 is 3.

Also check out the Least Common Multiple of 67461 and 67473