What is the Greatest Common Factor of 34055 and 34070?

Greatest common factor (GCF) of 34055 and 34070 is 5.

GCF(34055,34070) = 5

We will now calculate the prime factors of 34055 and 34070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34055 and 34070.

How to find the GCF of 34055 and 34070?

We will first find the prime factorization of 34055 and 34070. After we will calculate the factors of 34055 and 34070 and find the biggest common factor number .

Step-1: Prime Factorization of 34055

Prime factors of 34055 are 5, 7, 139. Prime factorization of 34055 in exponential form is:

34055 = 5¹ × 7² × 139¹

Step-2: Prime Factorization of 34070

Prime factors of 34070 are 2, 5, 3407. Prime factorization of 34070 in exponential form is:

34070 = 2¹ × 5¹ × 3407¹

Step-3: Factors of 34055

List of positive integer factors of 34055 that divides 34055 without a remainder.

1, 5, 7, 35, 49, 139, 245, 695, 973, 4865, 6811

Step-4: Factors of 34070

List of positive integer factors of 34070 that divides 34055 without a remainder.

1, 2, 5, 10, 3407, 6814, 17035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34055 and 34070. The biggest common factor number is the GCF number.
So the greatest common factor 34055 and 34070 is 5.

Also check out the Least Common Multiple of 34055 and 34070