What is the Greatest Common Factor of 45342 and 45354?

Greatest common factor (GCF) of 45342 and 45354 is 6.

GCF(45342,45354) = 6

We will now calculate the prime factors of 45342 and 45354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45342 and 45354.

How to find the GCF of 45342 and 45354?

We will first find the prime factorization of 45342 and 45354. After we will calculate the factors of 45342 and 45354 and find the biggest common factor number .

Step-1: Prime Factorization of 45342

Prime factors of 45342 are 2, 3, 11, 229. Prime factorization of 45342 in exponential form is:

45342 = 2¹ × 3² × 11¹ × 229¹

Step-2: Prime Factorization of 45354

Prime factors of 45354 are 2, 3, 7559. Prime factorization of 45354 in exponential form is:

45354 = 2¹ × 3¹ × 7559¹

Step-3: Factors of 45342

List of positive integer factors of 45342 that divides 45342 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 229, 458, 687, 1374, 2061, 2519, 4122, 5038, 7557, 15114, 22671

Step-4: Factors of 45354

List of positive integer factors of 45354 that divides 45342 without a remainder.

1, 2, 3, 6, 7559, 15118, 22677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45342 and 45354. The biggest common factor number is the GCF number.
So the greatest common factor 45342 and 45354 is 6.

Also check out the Least Common Multiple of 45342 and 45354