What is the Greatest Common Factor of 34915 and 34930?

Greatest common factor (GCF) of 34915 and 34930 is 5.

GCF(34915,34930) = 5

We will now calculate the prime factors of 34915 and 34930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34915 and 34930.

How to find the GCF of 34915 and 34930?

We will first find the prime factorization of 34915 and 34930. After we will calculate the factors of 34915 and 34930 and find the biggest common factor number .

Step-1: Prime Factorization of 34915

Prime factors of 34915 are 5, 6983. Prime factorization of 34915 in exponential form is:

34915 = 5¹ × 6983¹

Step-2: Prime Factorization of 34930

Prime factors of 34930 are 2, 5, 7, 499. Prime factorization of 34930 in exponential form is:

34930 = 2¹ × 5¹ × 7¹ × 499¹

Step-3: Factors of 34915

List of positive integer factors of 34915 that divides 34915 without a remainder.

1, 5, 6983

Step-4: Factors of 34930

List of positive integer factors of 34930 that divides 34915 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 499, 998, 2495, 3493, 4990, 6986, 17465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34915 and 34930. The biggest common factor number is the GCF number.
So the greatest common factor 34915 and 34930 is 5.

Also check out the Least Common Multiple of 34915 and 34930