What is the Greatest Common Factor of 34928 and 34945?

Greatest common factor (GCF) of 34928 and 34945 is 1.

GCF(34928,34945) = 1

We will now calculate the prime factors of 34928 and 34945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34928 and 34945.

How to find the GCF of 34928 and 34945?

We will first find the prime factorization of 34928 and 34945. After we will calculate the factors of 34928 and 34945 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 34945

Prime factors of 34945 are 5, 29, 241. Prime factorization of 34945 in exponential form is:

34945 = 5¹ × 29¹ × 241¹

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 34945

List of positive integer factors of 34945 that divides 34928 without a remainder.

1, 5, 29, 145, 241, 1205, 6989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34928 and 34945. The biggest common factor number is the GCF number.
So the greatest common factor 34928 and 34945 is 1.

Also check out the Least Common Multiple of 34928 and 34945