What is the Greatest Common Factor of 34254 and 34262?

Greatest common factor (GCF) of 34254 and 34262 is 2.

GCF(34254,34262) = 2

We will now calculate the prime factors of 34254 and 34262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34254 and 34262.

How to find the GCF of 34254 and 34262?

We will first find the prime factorization of 34254 and 34262. After we will calculate the factors of 34254 and 34262 and find the biggest common factor number .

Step-1: Prime Factorization of 34254

Prime factors of 34254 are 2, 3, 11, 173. Prime factorization of 34254 in exponential form is:

34254 = 2¹ × 3² × 11¹ × 173¹

Step-2: Prime Factorization of 34262

Prime factors of 34262 are 2, 37, 463. Prime factorization of 34262 in exponential form is:

34262 = 2¹ × 37¹ × 463¹

Step-3: Factors of 34254

List of positive integer factors of 34254 that divides 34254 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 173, 198, 346, 519, 1038, 1557, 1903, 3114, 3806, 5709, 11418, 17127

Step-4: Factors of 34262

List of positive integer factors of 34262 that divides 34254 without a remainder.

1, 2, 37, 74, 463, 926, 17131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34254 and 34262. The biggest common factor number is the GCF number.
So the greatest common factor 34254 and 34262 is 2.

Also check out the Least Common Multiple of 34254 and 34262