What is the Greatest Common Factor of 34240 and 34249?

Greatest common factor (GCF) of 34240 and 34249 is 1.

GCF(34240,34249) = 1

We will now calculate the prime factors of 34240 and 34249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34240 and 34249.

How to find the GCF of 34240 and 34249?

We will first find the prime factorization of 34240 and 34249. After we will calculate the factors of 34240 and 34249 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 34249

Prime factors of 34249 are 29, 1181. Prime factorization of 34249 in exponential form is:

34249 = 29¹ × 1181¹

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 34249

List of positive integer factors of 34249 that divides 34240 without a remainder.

1, 29, 1181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34240 and 34249. The biggest common factor number is the GCF number.
So the greatest common factor 34240 and 34249 is 1.

Also check out the Least Common Multiple of 34240 and 34249