What is the Greatest Common Factor of 3577 and 3593?

Greatest common factor (GCF) of 3577 and 3593 is 1.

GCF(3577,3593) = 1

We will now calculate the prime factors of 3577 and 3593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3577 and 3593.

How to find the GCF of 3577 and 3593?

We will first find the prime factorization of 3577 and 3593. After we will calculate the factors of 3577 and 3593 and find the biggest common factor number .

Step-1: Prime Factorization of 3577

Prime factors of 3577 are 7, 73. Prime factorization of 3577 in exponential form is:

3577 = 7² × 73¹

Step-2: Prime Factorization of 3593

Prime factors of 3593 are 3593. Prime factorization of 3593 in exponential form is:

3593 = 3593¹

Step-3: Factors of 3577

List of positive integer factors of 3577 that divides 3577 without a remainder.

1, 7, 49, 73, 511

Step-4: Factors of 3593

List of positive integer factors of 3593 that divides 3577 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3577 and 3593. The biggest common factor number is the GCF number.
So the greatest common factor 3577 and 3593 is 1.

Also check out the Least Common Multiple of 3577 and 3593