What is the Greatest Common Factor of 34928 and 34947?

Greatest common factor (GCF) of 34928 and 34947 is 1.

GCF(34928,34947) = 1

We will now calculate the prime factors of 34928 and 34947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34928 and 34947.

How to find the GCF of 34928 and 34947?

We will first find the prime factorization of 34928 and 34947. After we will calculate the factors of 34928 and 34947 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 34947

Prime factors of 34947 are 3, 11, 353. Prime factorization of 34947 in exponential form is:

34947 = 3² × 11¹ × 353¹

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 34947

List of positive integer factors of 34947 that divides 34928 without a remainder.

1, 3, 9, 11, 33, 99, 353, 1059, 3177, 3883, 11649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34928 and 34947. The biggest common factor number is the GCF number.
So the greatest common factor 34928 and 34947 is 1.

Also check out the Least Common Multiple of 34928 and 34947