What is the Greatest Common Factor of 34928 and 34933?

Greatest common factor (GCF) of 34928 and 34933 is 1.

GCF(34928,34933) = 1

We will now calculate the prime factors of 34928 and 34933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34928 and 34933.

How to find the GCF of 34928 and 34933?

We will first find the prime factorization of 34928 and 34933. After we will calculate the factors of 34928 and 34933 and find the biggest common factor number .

Step-1: Prime Factorization of 34928

Prime factors of 34928 are 2, 37, 59. Prime factorization of 34928 in exponential form is:

34928 = 2⁴ × 37¹ × 59¹

Step-2: Prime Factorization of 34933

Prime factors of 34933 are 181, 193. Prime factorization of 34933 in exponential form is:

34933 = 181¹ × 193¹

Step-3: Factors of 34928

List of positive integer factors of 34928 that divides 34928 without a remainder.

1, 2, 4, 8, 16, 37, 59, 74, 118, 148, 236, 296, 472, 592, 944, 2183, 4366, 8732, 17464

Step-4: Factors of 34933

List of positive integer factors of 34933 that divides 34928 without a remainder.

1, 181, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34928 and 34933. The biggest common factor number is the GCF number.
So the greatest common factor 34928 and 34933 is 1.

Also check out the Least Common Multiple of 34928 and 34933