What is the Greatest Common Factor of 33902 and 33908?

Greatest common factor (GCF) of 33902 and 33908 is 2.

GCF(33902,33908) = 2

We will now calculate the prime factors of 33902 and 33908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33902 and 33908.

How to find the GCF of 33902 and 33908?

We will first find the prime factorization of 33902 and 33908. After we will calculate the factors of 33902 and 33908 and find the biggest common factor number .

Step-1: Prime Factorization of 33902

Prime factors of 33902 are 2, 11, 23, 67. Prime factorization of 33902 in exponential form is:

33902 = 2¹ × 11¹ × 23¹ × 67¹

Step-2: Prime Factorization of 33908

Prime factors of 33908 are 2, 7, 173. Prime factorization of 33908 in exponential form is:

33908 = 2² × 7² × 173¹

Step-3: Factors of 33902

List of positive integer factors of 33902 that divides 33902 without a remainder.

1, 2, 11, 22, 23, 46, 67, 134, 253, 506, 737, 1474, 1541, 3082, 16951

Step-4: Factors of 33908

List of positive integer factors of 33908 that divides 33902 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 173, 196, 346, 692, 1211, 2422, 4844, 8477, 16954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33902 and 33908. The biggest common factor number is the GCF number.
So the greatest common factor 33902 and 33908 is 2.

Also check out the Least Common Multiple of 33902 and 33908