What is the Greatest Common Factor of 33902 and 33916?

Greatest common factor (GCF) of 33902 and 33916 is 2.

GCF(33902,33916) = 2

We will now calculate the prime factors of 33902 and 33916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33902 and 33916.

How to find the GCF of 33902 and 33916?

We will first find the prime factorization of 33902 and 33916. After we will calculate the factors of 33902 and 33916 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 33916

Prime factors of 33916 are 2, 61, 139. Prime factorization of 33916 in exponential form is:

33916 = 2² × 61¹ × 139¹

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 33916

List of positive integer factors of 33916 that divides 33902 without a remainder.

1, 2, 4, 61, 122, 139, 244, 278, 556, 8479, 16958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33902 and 33916. The biggest common factor number is the GCF number.
So the greatest common factor 33902 and 33916 is 2.

Also check out the Least Common Multiple of 33902 and 33916