What is the Greatest Common Factor of 34465 and 34470?

Greatest common factor (GCF) of 34465 and 34470 is 5.

GCF(34465,34470) = 5

We will now calculate the prime factors of 34465 and 34470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34465 and 34470.

How to find the GCF of 34465 and 34470?

We will first find the prime factorization of 34465 and 34470. After we will calculate the factors of 34465 and 34470 and find the biggest common factor number .

Step-1: Prime Factorization of 34465

Prime factors of 34465 are 5, 61, 113. Prime factorization of 34465 in exponential form is:

34465 = 5¹ × 61¹ × 113¹

Step-2: 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-3: Factors of 34465

List of positive integer factors of 34465 that divides 34465 without a remainder.

1, 5, 61, 113, 305, 565, 6893

Step-4: Factors of 34470

List of positive integer factors of 34470 that divides 34465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34465 and 34470. The biggest common factor number is the GCF number.
So the greatest common factor 34465 and 34470 is 5.

Also check out the Least Common Multiple of 34465 and 34470