What is the Greatest Common Factor of 73475 and 73489?

Greatest common factor (GCF) of 73475 and 73489 is 1.

GCF(73475,73489) = 1

We will now calculate the prime factors of 73475 and 73489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73475 and 73489.

How to find the GCF of 73475 and 73489?

We will first find the prime factorization of 73475 and 73489. After we will calculate the factors of 73475 and 73489 and find the biggest common factor number .

Step-1: Prime Factorization of 73475

Prime factors of 73475 are 5, 2939. Prime factorization of 73475 in exponential form is:

73475 = 5² × 2939¹

Step-2: Prime Factorization of 73489

Prime factors of 73489 are 13, 5653. Prime factorization of 73489 in exponential form is:

73489 = 13¹ × 5653¹

Step-3: Factors of 73475

List of positive integer factors of 73475 that divides 73475 without a remainder.

1, 5, 25, 2939, 14695

Step-4: Factors of 73489

List of positive integer factors of 73489 that divides 73475 without a remainder.

1, 13, 5653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73475 and 73489. The biggest common factor number is the GCF number.
So the greatest common factor 73475 and 73489 is 1.

Also check out the Least Common Multiple of 73475 and 73489