What is the Greatest Common Factor of 34900 and 34915?

Greatest common factor (GCF) of 34900 and 34915 is 5.

GCF(34900,34915) = 5

We will now calculate the prime factors of 34900 and 34915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34900 and 34915.

How to find the GCF of 34900 and 34915?

We will first find the prime factorization of 34900 and 34915. After we will calculate the factors of 34900 and 34915 and find the biggest common factor number .

Step-1: Prime Factorization of 34900

Prime factors of 34900 are 2, 5, 349. Prime factorization of 34900 in exponential form is:

34900 = 2² × 5² × 349¹

Step-2: Prime Factorization of 34915

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

34915 = 5¹ × 6983¹

Step-3: Factors of 34900

List of positive integer factors of 34900 that divides 34900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 349, 698, 1396, 1745, 3490, 6980, 8725, 17450

Step-4: Factors of 34915

List of positive integer factors of 34915 that divides 34900 without a remainder.

1, 5, 6983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34900 and 34915. The biggest common factor number is the GCF number.
So the greatest common factor 34900 and 34915 is 5.

Also check out the Least Common Multiple of 34900 and 34915