What is the Greatest Common Factor of 34475 and 34490?

Greatest common factor (GCF) of 34475 and 34490 is 5.

GCF(34475,34490) = 5

We will now calculate the prime factors of 34475 and 34490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34475 and 34490.

How to find the GCF of 34475 and 34490?

We will first find the prime factorization of 34475 and 34490. After we will calculate the factors of 34475 and 34490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34490

Prime factors of 34490 are 2, 5, 3449. Prime factorization of 34490 in exponential form is:

34490 = 2¹ × 5¹ × 3449¹

Step-3: Factors of 34475

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

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

Step-4: Factors of 34490

List of positive integer factors of 34490 that divides 34475 without a remainder.

1, 2, 5, 10, 3449, 6898, 17245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34475 and 34490. The biggest common factor number is the GCF number.
So the greatest common factor 34475 and 34490 is 5.

Also check out the Least Common Multiple of 34475 and 34490