What is the Greatest Common Factor of 33574 and 33582?

Greatest common factor (GCF) of 33574 and 33582 is 2.

GCF(33574,33582) = 2

We will now calculate the prime factors of 33574 and 33582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33574 and 33582.

How to find the GCF of 33574 and 33582?

We will first find the prime factorization of 33574 and 33582. After we will calculate the factors of 33574 and 33582 and find the biggest common factor number .

Step-1: Prime Factorization of 33574

Prime factors of 33574 are 2, 16787. Prime factorization of 33574 in exponential form is:

33574 = 2¹ × 16787¹

Step-2: Prime Factorization of 33582

Prime factors of 33582 are 2, 3, 29, 193. Prime factorization of 33582 in exponential form is:

33582 = 2¹ × 3¹ × 29¹ × 193¹

Step-3: Factors of 33574

List of positive integer factors of 33574 that divides 33574 without a remainder.

1, 2, 16787

Step-4: Factors of 33582

List of positive integer factors of 33582 that divides 33574 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 193, 386, 579, 1158, 5597, 11194, 16791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33574 and 33582. The biggest common factor number is the GCF number.
So the greatest common factor 33574 and 33582 is 2.

Also check out the Least Common Multiple of 33574 and 33582