What is the Greatest Common Factor of 33634 and 33642?

Greatest common factor (GCF) of 33634 and 33642 is 2.

GCF(33634,33642) = 2

We will now calculate the prime factors of 33634 and 33642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33634 and 33642.

How to find the GCF of 33634 and 33642?

We will first find the prime factorization of 33634 and 33642. After we will calculate the factors of 33634 and 33642 and find the biggest common factor number .

Step-1: Prime Factorization of 33634

Prime factors of 33634 are 2, 67, 251. Prime factorization of 33634 in exponential form is:

33634 = 2¹ × 67¹ × 251¹

Step-2: 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-3: Factors of 33634

List of positive integer factors of 33634 that divides 33634 without a remainder.

1, 2, 67, 134, 251, 502, 16817

Step-4: Factors of 33642

List of positive integer factors of 33642 that divides 33634 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33634 and 33642. The biggest common factor number is the GCF number.
So the greatest common factor 33634 and 33642 is 2.

Also check out the Least Common Multiple of 33634 and 33642