What is the Greatest Common Factor of 34452 and 34458?

Greatest common factor (GCF) of 34452 and 34458 is 6.

GCF(34452,34458) = 6

We will now calculate the prime factors of 34452 and 34458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34452 and 34458.

How to find the GCF of 34452 and 34458?

We will first find the prime factorization of 34452 and 34458. After we will calculate the factors of 34452 and 34458 and find the biggest common factor number .

Step-1: Prime Factorization of 34452

Prime factors of 34452 are 2, 3, 11, 29. Prime factorization of 34452 in exponential form is:

34452 = 2² × 3³ × 11¹ × 29¹

Step-2: Prime Factorization of 34458

Prime factors of 34458 are 2, 3, 5743. Prime factorization of 34458 in exponential form is:

34458 = 2¹ × 3¹ × 5743¹

Step-3: Factors of 34452

List of positive integer factors of 34452 that divides 34452 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 29, 33, 36, 44, 54, 58, 66, 87, 99, 108, 116, 132, 174, 198, 261, 297, 319, 348, 396, 522, 594, 638, 783, 957, 1044, 1188, 1276, 1566, 1914, 2871, 3132, 3828, 5742, 8613, 11484, 17226

Step-4: Factors of 34458

List of positive integer factors of 34458 that divides 34452 without a remainder.

1, 2, 3, 6, 5743, 11486, 17229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34452 and 34458. The biggest common factor number is the GCF number.
So the greatest common factor 34452 and 34458 is 6.

Also check out the Least Common Multiple of 34452 and 34458