What is the Greatest Common Factor of 33572 and 33583?

Greatest common factor (GCF) of 33572 and 33583 is 11.

GCF(33572,33583) = 11

We will now calculate the prime factors of 33572 and 33583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33572 and 33583.

How to find the GCF of 33572 and 33583?

We will first find the prime factorization of 33572 and 33583. After we will calculate the factors of 33572 and 33583 and find the biggest common factor number .

Step-1: Prime Factorization of 33572

Prime factors of 33572 are 2, 7, 11, 109. Prime factorization of 33572 in exponential form is:

33572 = 2² × 7¹ × 11¹ × 109¹

Step-2: Prime Factorization of 33583

Prime factors of 33583 are 11, 43, 71. Prime factorization of 33583 in exponential form is:

33583 = 11¹ × 43¹ × 71¹

Step-3: Factors of 33572

List of positive integer factors of 33572 that divides 33572 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 109, 154, 218, 308, 436, 763, 1199, 1526, 2398, 3052, 4796, 8393, 16786

Step-4: Factors of 33583

List of positive integer factors of 33583 that divides 33572 without a remainder.

1, 11, 43, 71, 473, 781, 3053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33572 and 33583. The biggest common factor number is the GCF number.
So the greatest common factor 33572 and 33583 is 11.

Also check out the Least Common Multiple of 33572 and 33583