What is the Greatest Common Factor of 34238 and 34242?

Greatest common factor (GCF) of 34238 and 34242 is 2.

GCF(34238,34242) = 2

We will now calculate the prime factors of 34238 and 34242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34238 and 34242.

How to find the GCF of 34238 and 34242?

We will first find the prime factorization of 34238 and 34242. After we will calculate the factors of 34238 and 34242 and find the biggest common factor number .

Step-1: Prime Factorization of 34238

Prime factors of 34238 are 2, 17, 19, 53. Prime factorization of 34238 in exponential form is:

34238 = 2¹ × 17¹ × 19¹ × 53¹

Step-2: Prime Factorization of 34242

Prime factors of 34242 are 2, 3, 13, 439. Prime factorization of 34242 in exponential form is:

34242 = 2¹ × 3¹ × 13¹ × 439¹

Step-3: Factors of 34238

List of positive integer factors of 34238 that divides 34238 without a remainder.

1, 2, 17, 19, 34, 38, 53, 106, 323, 646, 901, 1007, 1802, 2014, 17119

Step-4: Factors of 34242

List of positive integer factors of 34242 that divides 34238 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 439, 878, 1317, 2634, 5707, 11414, 17121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34238 and 34242. The biggest common factor number is the GCF number.
So the greatest common factor 34238 and 34242 is 2.

Also check out the Least Common Multiple of 34238 and 34242