What is the Greatest Common Factor of 33642 and 33658?

Greatest common factor (GCF) of 33642 and 33658 is 2.

GCF(33642,33658) = 2

We will now calculate the prime factors of 33642 and 33658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33642 and 33658.

How to find the GCF of 33642 and 33658?

We will first find the prime factorization of 33642 and 33658. After we will calculate the factors of 33642 and 33658 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 33658

Prime factors of 33658 are 2, 16829. Prime factorization of 33658 in exponential form is:

33658 = 2¹ × 16829¹

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 33658

List of positive integer factors of 33658 that divides 33642 without a remainder.

1, 2, 16829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33642 and 33658. The biggest common factor number is the GCF number.
So the greatest common factor 33642 and 33658 is 2.

Also check out the Least Common Multiple of 33642 and 33658