What is the Greatest Common Factor of 35582 and 35592?

Greatest common factor (GCF) of 35582 and 35592 is 2.

GCF(35582,35592) = 2

We will now calculate the prime factors of 35582 and 35592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35582 and 35592.

How to find the GCF of 35582 and 35592?

We will first find the prime factorization of 35582 and 35592. After we will calculate the factors of 35582 and 35592 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 35592

Prime factors of 35592 are 2, 3, 1483. Prime factorization of 35592 in exponential form is:

35592 = 2³ × 3¹ × 1483¹

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 35592

List of positive integer factors of 35592 that divides 35582 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1483, 2966, 4449, 5932, 8898, 11864, 17796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35582 and 35592. The biggest common factor number is the GCF number.
So the greatest common factor 35582 and 35592 is 2.

Also check out the Least Common Multiple of 35582 and 35592