What is the Greatest Common Factor of 35582 and 35596?

Greatest common factor (GCF) of 35582 and 35596 is 2.

GCF(35582,35596) = 2

We will now calculate the prime factors of 35582 and 35596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35582 and 35596.

How to find the GCF of 35582 and 35596?

We will first find the prime factorization of 35582 and 35596. After we will calculate the factors of 35582 and 35596 and find the biggest common factor number .

Step-1: Prime Factorization of 35582

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

35582 = 2¹ × 17791¹

Step-2: Prime Factorization of 35596

Prime factors of 35596 are 2, 11, 809. Prime factorization of 35596 in exponential form is:

35596 = 2² × 11¹ × 809¹

Step-3: Factors of 35582

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

1, 2, 17791

Step-4: Factors of 35596

List of positive integer factors of 35596 that divides 35582 without a remainder.

1, 2, 4, 11, 22, 44, 809, 1618, 3236, 8899, 17798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35582 and 35596. The biggest common factor number is the GCF number.
So the greatest common factor 35582 and 35596 is 2.

Also check out the Least Common Multiple of 35582 and 35596