What is the Greatest Common Factor of 33642 and 33646?

Greatest common factor (GCF) of 33642 and 33646 is 2.

GCF(33642,33646) = 2

We will now calculate the prime factors of 33642 and 33646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33642 and 33646.

How to find the GCF of 33642 and 33646?

We will first find the prime factorization of 33642 and 33646. After we will calculate the factors of 33642 and 33646 and find the biggest common factor number .

Step-1: Prime Factorization of 33642

Prime factors of 33642 are 2, 3, 7, 89. Prime factorization of 33642 in exponential form is:

33642 = 2¹ × 3³ × 7¹ × 89¹

Step-2: Prime Factorization of 33646

Prime factors of 33646 are 2, 16823. Prime factorization of 33646 in exponential form is:

33646 = 2¹ × 16823¹

Step-3: Factors of 33642

List of positive integer factors of 33642 that divides 33642 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 89, 126, 178, 189, 267, 378, 534, 623, 801, 1246, 1602, 1869, 2403, 3738, 4806, 5607, 11214, 16821

Step-4: Factors of 33646

List of positive integer factors of 33646 that divides 33642 without a remainder.

1, 2, 16823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33642 and 33646. The biggest common factor number is the GCF number.
So the greatest common factor 33642 and 33646 is 2.

Also check out the Least Common Multiple of 33642 and 33646