What is the Greatest Common Factor of 45336 and 45354?

Greatest common factor (GCF) of 45336 and 45354 is 6.

GCF(45336,45354) = 6

We will now calculate the prime factors of 45336 and 45354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45336 and 45354.

How to find the GCF of 45336 and 45354?

We will first find the prime factorization of 45336 and 45354. After we will calculate the factors of 45336 and 45354 and find the biggest common factor number .

Step-1: Prime Factorization of 45336

Prime factors of 45336 are 2, 3, 1889. Prime factorization of 45336 in exponential form is:

45336 = 2³ × 3¹ × 1889¹

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 45336

List of positive integer factors of 45336 that divides 45336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1889, 3778, 5667, 7556, 11334, 15112, 22668

Step-4: Factors of 45354

List of positive integer factors of 45354 that divides 45336 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45336 and 45354. The biggest common factor number is the GCF number.
So the greatest common factor 45336 and 45354 is 6.

Also check out the Least Common Multiple of 45336 and 45354