What is the Greatest Common Factor of 67473 and 67489?

Greatest common factor (GCF) of 67473 and 67489 is 1.

GCF(67473,67489) = 1

We will now calculate the prime factors of 67473 and 67489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67473 and 67489.

How to find the GCF of 67473 and 67489?

We will first find the prime factorization of 67473 and 67489. After we will calculate the factors of 67473 and 67489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67489

Prime factors of 67489 are 67489. Prime factorization of 67489 in exponential form is:

67489 = 67489¹

Step-3: Factors of 67473

List of positive integer factors of 67473 that divides 67473 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

Step-4: Factors of 67489

List of positive integer factors of 67489 that divides 67473 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67473 and 67489. The biggest common factor number is the GCF number.
So the greatest common factor 67473 and 67489 is 1.

Also check out the Least Common Multiple of 67473 and 67489