What is the Greatest Common Factor of 33474 and 33494?

Greatest common factor (GCF) of 33474 and 33494 is 2.

GCF(33474,33494) = 2

We will now calculate the prime factors of 33474 and 33494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33474 and 33494.

How to find the GCF of 33474 and 33494?

We will first find the prime factorization of 33474 and 33494. After we will calculate the factors of 33474 and 33494 and find the biggest common factor number .

Step-1: Prime Factorization of 33474

Prime factors of 33474 are 2, 3, 7, 797. Prime factorization of 33474 in exponential form is:

33474 = 2¹ × 3¹ × 7¹ × 797¹

Step-2: Prime Factorization of 33494

Prime factors of 33494 are 2, 16747. Prime factorization of 33494 in exponential form is:

33494 = 2¹ × 16747¹

Step-3: Factors of 33474

List of positive integer factors of 33474 that divides 33474 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 797, 1594, 2391, 4782, 5579, 11158, 16737

Step-4: Factors of 33494

List of positive integer factors of 33494 that divides 33474 without a remainder.

1, 2, 16747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33474 and 33494. The biggest common factor number is the GCF number.
So the greatest common factor 33474 and 33494 is 2.

Also check out the Least Common Multiple of 33474 and 33494