What is the Greatest Common Factor of 34909 and 34928?

Greatest common factor (GCF) of 34909 and 34928 is 1.

GCF(34909,34928) = 1

We will now calculate the prime factors of 34909 and 34928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34909 and 34928.

How to find the GCF of 34909 and 34928?

We will first find the prime factorization of 34909 and 34928. After we will calculate the factors of 34909 and 34928 and find the biggest common factor number .

Step-1: Prime Factorization of 34909

Prime factors of 34909 are 7, 4987. Prime factorization of 34909 in exponential form is:

34909 = 7¹ × 4987¹

Step-2: 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-3: Factors of 34909

List of positive integer factors of 34909 that divides 34909 without a remainder.

1, 7, 4987

Step-4: Factors of 34928

List of positive integer factors of 34928 that divides 34909 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34909 and 34928. The biggest common factor number is the GCF number.
So the greatest common factor 34909 and 34928 is 1.

Also check out the Least Common Multiple of 34909 and 34928