What is the Greatest Common Factor of 33902 and 33921?

Greatest common factor (GCF) of 33902 and 33921 is 1.

GCF(33902,33921) = 1

We will now calculate the prime factors of 33902 and 33921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33902 and 33921.

How to find the GCF of 33902 and 33921?

We will first find the prime factorization of 33902 and 33921. After we will calculate the factors of 33902 and 33921 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 33921

Prime factors of 33921 are 3, 3769. Prime factorization of 33921 in exponential form is:

33921 = 3² × 3769¹

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 33921

List of positive integer factors of 33921 that divides 33902 without a remainder.

1, 3, 9, 3769, 11307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33902 and 33921. The biggest common factor number is the GCF number.
So the greatest common factor 33902 and 33921 is 1.

Also check out the Least Common Multiple of 33902 and 33921