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What is the Greatest Common Factor of 45168 and 45184?

Greatest common factor (GCF) of 45168 and 45184 is 16.

GCF(45168,45184) = 16

We will now calculate the prime factors of 45168 and 45184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45168 and 45184.

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How to find the GCF of 45168 and 45184?

We will first find the prime factorization of 45168 and 45184. After we will calculate the factors of 45168 and 45184 and find the biggest common factor number .

Step-1: Prime Factorization of 45168

Prime factors of 45168 are 2, 3, 941. Prime factorization of 45168 in exponential form is:

45168 = 24 × 31 × 9411

Step-2: Prime Factorization of 45184

Prime factors of 45184 are 2, 353. Prime factorization of 45184 in exponential form is:

45184 = 27 × 3531

Step-3: Factors of 45168

List of positive integer factors of 45168 that divides 45168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 941, 1882, 2823, 3764, 5646, 7528, 11292, 15056, 22584

Step-4: Factors of 45184

List of positive integer factors of 45184 that divides 45168 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 353, 706, 1412, 2824, 5648, 11296, 22592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45168 and 45184. The biggest common factor number is the GCF number.
So the greatest common factor 45168 and 45184 is 16.

Also check out the Least Common Multiple of 45168 and 45184