What is the Greatest Common Factor of 33546 and 33566?

Greatest common factor (GCF) of 33546 and 33566 is 2.

GCF(33546,33566) = 2

We will now calculate the prime factors of 33546 and 33566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33546 and 33566.

How to find the GCF of 33546 and 33566?

We will first find the prime factorization of 33546 and 33566. After we will calculate the factors of 33546 and 33566 and find the biggest common factor number .

Step-1: Prime Factorization of 33546

Prime factors of 33546 are 2, 3, 5591. Prime factorization of 33546 in exponential form is:

33546 = 2¹ × 3¹ × 5591¹

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 33546

List of positive integer factors of 33546 that divides 33546 without a remainder.

1, 2, 3, 6, 5591, 11182, 16773

Step-4: Factors of 33566

List of positive integer factors of 33566 that divides 33546 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33546 and 33566. The biggest common factor number is the GCF number.
So the greatest common factor 33546 and 33566 is 2.

Also check out the Least Common Multiple of 33546 and 33566