What is the Greatest Common Factor of 3563 and 3577?

Greatest common factor (GCF) of 3563 and 3577 is 7.

GCF(3563,3577) = 7

We will now calculate the prime factors of 3563 and 3577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3563 and 3577.

How to find the GCF of 3563 and 3577?

We will first find the prime factorization of 3563 and 3577. After we will calculate the factors of 3563 and 3577 and find the biggest common factor number .

Step-1: Prime Factorization of 3563

Prime factors of 3563 are 7, 509. Prime factorization of 3563 in exponential form is:

3563 = 7¹ × 509¹

Step-2: Prime Factorization of 3577

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

3577 = 7² × 73¹

Step-3: Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1, 7, 509

Step-4: Factors of 3577

List of positive integer factors of 3577 that divides 3563 without a remainder.

1, 7, 49, 73, 511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3563 and 3577. The biggest common factor number is the GCF number.
So the greatest common factor 3563 and 3577 is 7.

Also check out the Least Common Multiple of 3563 and 3577