What is the Greatest Common Factor of 34240 and 34258?

Greatest common factor (GCF) of 34240 and 34258 is 2.

GCF(34240,34258) = 2

We will now calculate the prime factors of 34240 and 34258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34240 and 34258.

How to find the GCF of 34240 and 34258?

We will first find the prime factorization of 34240 and 34258. After we will calculate the factors of 34240 and 34258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34258

Prime factors of 34258 are 2, 7, 2447. Prime factorization of 34258 in exponential form is:

34258 = 2¹ × 7¹ × 2447¹

Step-3: Factors of 34240

List of positive integer factors of 34240 that divides 34240 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

Step-4: Factors of 34258

List of positive integer factors of 34258 that divides 34240 without a remainder.

1, 2, 7, 14, 2447, 4894, 17129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34240 and 34258. The biggest common factor number is the GCF number.
So the greatest common factor 34240 and 34258 is 2.

Also check out the Least Common Multiple of 34240 and 34258