What is the Greatest Common Factor of 33553 and 33566?

Greatest common factor (GCF) of 33553 and 33566 is 13.

GCF(33553,33566) = 13

We will now calculate the prime factors of 33553 and 33566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33553 and 33566.

How to find the GCF of 33553 and 33566?

We will first find the prime factorization of 33553 and 33566. After we will calculate the factors of 33553 and 33566 and find the biggest common factor number .

Step-1: Prime Factorization of 33553

Prime factors of 33553 are 13, 29, 89. Prime factorization of 33553 in exponential form is:

33553 = 13¹ × 29¹ × 89¹

Step-2: Prime Factorization of 33566

Prime factors of 33566 are 2, 13, 1291. Prime factorization of 33566 in exponential form is:

33566 = 2¹ × 13¹ × 1291¹

Step-3: Factors of 33553

List of positive integer factors of 33553 that divides 33553 without a remainder.

1, 13, 29, 89, 377, 1157, 2581

Step-4: Factors of 33566

List of positive integer factors of 33566 that divides 33553 without a remainder.

1, 2, 13, 26, 1291, 2582, 16783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33553 and 33566. The biggest common factor number is the GCF number.
So the greatest common factor 33553 and 33566 is 13.

Also check out the Least Common Multiple of 33553 and 33566