What is the Greatest Common Factor of 35576 and 35582?

Greatest common factor (GCF) of 35576 and 35582 is 2.

GCF(35576,35582) = 2

We will now calculate the prime factors of 35576 and 35582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35576 and 35582.

How to find the GCF of 35576 and 35582?

We will first find the prime factorization of 35576 and 35582. After we will calculate the factors of 35576 and 35582 and find the biggest common factor number .

Step-1: Prime Factorization of 35576

Prime factors of 35576 are 2, 4447. Prime factorization of 35576 in exponential form is:

35576 = 2³ × 4447¹

Step-2: Prime Factorization of 35582

Prime factors of 35582 are 2, 17791. Prime factorization of 35582 in exponential form is:

35582 = 2¹ × 17791¹

Step-3: Factors of 35576

List of positive integer factors of 35576 that divides 35576 without a remainder.

1, 2, 4, 8, 4447, 8894, 17788

Step-4: Factors of 35582

List of positive integer factors of 35582 that divides 35576 without a remainder.

1, 2, 17791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35576 and 35582. The biggest common factor number is the GCF number.
So the greatest common factor 35576 and 35582 is 2.

Also check out the Least Common Multiple of 35576 and 35582