What is the Greatest Common Factor of 3575 and 3587?

Greatest common factor (GCF) of 3575 and 3587 is 1.

GCF(3575,3587) = 1

We will now calculate the prime factors of 3575 and 3587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3575 and 3587.

How to find the GCF of 3575 and 3587?

We will first find the prime factorization of 3575 and 3587. After we will calculate the factors of 3575 and 3587 and find the biggest common factor number .

Step-1: Prime Factorization of 3575

Prime factors of 3575 are 5, 11, 13. Prime factorization of 3575 in exponential form is:

3575 = 5² × 11¹ × 13¹

Step-2: Prime Factorization of 3587

Prime factors of 3587 are 17, 211. Prime factorization of 3587 in exponential form is:

3587 = 17¹ × 211¹

Step-3: Factors of 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715

Step-4: Factors of 3587

List of positive integer factors of 3587 that divides 3575 without a remainder.

1, 17, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3575 and 3587. The biggest common factor number is the GCF number.
So the greatest common factor 3575 and 3587 is 1.

Also check out the Least Common Multiple of 3575 and 3587