What is the Greatest Common Factor of 33572 and 33586?

Greatest common factor (GCF) of 33572 and 33586 is 14.

GCF(33572,33586) = 14

We will now calculate the prime factors of 33572 and 33586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33572 and 33586.

How to find the GCF of 33572 and 33586?

We will first find the prime factorization of 33572 and 33586. After we will calculate the factors of 33572 and 33586 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 33586

Prime factors of 33586 are 2, 7, 2399. Prime factorization of 33586 in exponential form is:

33586 = 2¹ × 7¹ × 2399¹

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 33586

List of positive integer factors of 33586 that divides 33572 without a remainder.

1, 2, 7, 14, 2399, 4798, 16793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33572 and 33586. The biggest common factor number is the GCF number.
So the greatest common factor 33572 and 33586 is 14.

Also check out the Least Common Multiple of 33572 and 33586