What is the Greatest Common Factor of 34470 and 34475?

Greatest common factor (GCF) of 34470 and 34475 is 5.

GCF(34470,34475) = 5

We will now calculate the prime factors of 34470 and 34475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34470 and 34475.

How to find the GCF of 34470 and 34475?

We will first find the prime factorization of 34470 and 34475. After we will calculate the factors of 34470 and 34475 and find the biggest common factor number .

Step-1: Prime Factorization of 34470

Prime factors of 34470 are 2, 3, 5, 383. Prime factorization of 34470 in exponential form is:

34470 = 2¹ × 3² × 5¹ × 383¹

Step-2: Prime Factorization of 34475

Prime factors of 34475 are 5, 7, 197. Prime factorization of 34475 in exponential form is:

34475 = 5² × 7¹ × 197¹

Step-3: Factors of 34470

List of positive integer factors of 34470 that divides 34470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 383, 766, 1149, 1915, 2298, 3447, 3830, 5745, 6894, 11490, 17235

Step-4: Factors of 34475

List of positive integer factors of 34475 that divides 34470 without a remainder.

1, 5, 7, 25, 35, 175, 197, 985, 1379, 4925, 6895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34470 and 34475. The biggest common factor number is the GCF number.
So the greatest common factor 34470 and 34475 is 5.

Also check out the Least Common Multiple of 34470 and 34475