What is the Greatest Common Factor of 34928 and 34946?

Greatest common factor (GCF) of 34928 and 34946 is 2.

GCF(34928,34946) = 2

We will now calculate the prime factors of 34928 and 34946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34928 and 34946.

How to find the GCF of 34928 and 34946?

We will first find the prime factorization of 34928 and 34946. After we will calculate the factors of 34928 and 34946 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 34946

Prime factors of 34946 are 2, 101, 173. Prime factorization of 34946 in exponential form is:

34946 = 2¹ × 101¹ × 173¹

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 34946

List of positive integer factors of 34946 that divides 34928 without a remainder.

1, 2, 101, 173, 202, 346, 17473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34928 and 34946. The biggest common factor number is the GCF number.
So the greatest common factor 34928 and 34946 is 2.

Also check out the Least Common Multiple of 34928 and 34946