What is the Greatest Common Factor of 34928 and 34940?

Greatest common factor (GCF) of 34928 and 34940 is 4.

GCF(34928,34940) = 4

We will now calculate the prime factors of 34928 and 34940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34928 and 34940.

How to find the GCF of 34928 and 34940?

We will first find the prime factorization of 34928 and 34940. After we will calculate the factors of 34928 and 34940 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 34940

Prime factors of 34940 are 2, 5, 1747. Prime factorization of 34940 in exponential form is:

34940 = 2² × 5¹ × 1747¹

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 34940

List of positive integer factors of 34940 that divides 34928 without a remainder.

1, 2, 4, 5, 10, 20, 1747, 3494, 6988, 8735, 17470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34928 and 34940. The biggest common factor number is the GCF number.
So the greatest common factor 34928 and 34940 is 4.

Also check out the Least Common Multiple of 34928 and 34940