What is the Greatest Common Factor of 34234 and 34240?

Greatest common factor (GCF) of 34234 and 34240 is 2.

GCF(34234,34240) = 2

We will now calculate the prime factors of 34234 and 34240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34234 and 34240.

How to find the GCF of 34234 and 34240?

We will first find the prime factorization of 34234 and 34240. After we will calculate the factors of 34234 and 34240 and find the biggest common factor number .

Step-1: Prime Factorization of 34234

Prime factors of 34234 are 2, 17117. Prime factorization of 34234 in exponential form is:

34234 = 2¹ × 17117¹

Step-2: Prime Factorization of 34240

Prime factors of 34240 are 2, 5, 107. Prime factorization of 34240 in exponential form is:

34240 = 2⁶ × 5¹ × 107¹

Step-3: Factors of 34234

List of positive integer factors of 34234 that divides 34234 without a remainder.

1, 2, 17117

Step-4: Factors of 34240

List of positive integer factors of 34240 that divides 34234 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 107, 160, 214, 320, 428, 535, 856, 1070, 1712, 2140, 3424, 4280, 6848, 8560, 17120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34234 and 34240. The biggest common factor number is the GCF number.
So the greatest common factor 34234 and 34240 is 2.

Also check out the Least Common Multiple of 34234 and 34240