What is the Greatest Common Factor of 33574 and 33588?

Greatest common factor (GCF) of 33574 and 33588 is 2.

GCF(33574,33588) = 2

We will now calculate the prime factors of 33574 and 33588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33574 and 33588.

How to find the GCF of 33574 and 33588?

We will first find the prime factorization of 33574 and 33588. After we will calculate the factors of 33574 and 33588 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 33588

Prime factors of 33588 are 2, 3, 311. Prime factorization of 33588 in exponential form is:

33588 = 2² × 3³ × 311¹

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 33588

List of positive integer factors of 33588 that divides 33574 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 311, 622, 933, 1244, 1866, 2799, 3732, 5598, 8397, 11196, 16794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33574 and 33588. The biggest common factor number is the GCF number.
So the greatest common factor 33574 and 33588 is 2.

Also check out the Least Common Multiple of 33574 and 33588