What is the Greatest Common Factor of 90704 and 90721?

Greatest common factor (GCF) of 90704 and 90721 is 1.

GCF(90704,90721) = 1

We will now calculate the prime factors of 90704 and 90721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90704 and 90721.

How to find the GCF of 90704 and 90721?

We will first find the prime factorization of 90704 and 90721. After we will calculate the factors of 90704 and 90721 and find the biggest common factor number .

Step-1: Prime Factorization of 90704

Prime factors of 90704 are 2, 5669. Prime factorization of 90704 in exponential form is:

90704 = 2⁴ × 5669¹

Step-2: Prime Factorization of 90721

Prime factors of 90721 are 257, 353. Prime factorization of 90721 in exponential form is:

90721 = 257¹ × 353¹

Step-3: Factors of 90704

List of positive integer factors of 90704 that divides 90704 without a remainder.

1, 2, 4, 8, 16, 5669, 11338, 22676, 45352

Step-4: Factors of 90721

List of positive integer factors of 90721 that divides 90704 without a remainder.

1, 257, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90704 and 90721. The biggest common factor number is the GCF number.
So the greatest common factor 90704 and 90721 is 1.

Also check out the Least Common Multiple of 90704 and 90721