What is the Greatest Common Factor of 45675 and 45684?

Greatest common factor (GCF) of 45675 and 45684 is 9.

GCF(45675,45684) = 9

We will now calculate the prime factors of 45675 and 45684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45675 and 45684.

How to find the GCF of 45675 and 45684?

We will first find the prime factorization of 45675 and 45684. After we will calculate the factors of 45675 and 45684 and find the biggest common factor number .

Step-1: Prime Factorization of 45675

Prime factors of 45675 are 3, 5, 7, 29. Prime factorization of 45675 in exponential form is:

45675 = 3² × 5² × 7¹ × 29¹

Step-2: Prime Factorization of 45684

Prime factors of 45684 are 2, 3, 47. Prime factorization of 45684 in exponential form is:

45684 = 2² × 3⁵ × 47¹

Step-3: Factors of 45675

List of positive integer factors of 45675 that divides 45675 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 29, 35, 45, 63, 75, 87, 105, 145, 175, 203, 225, 261, 315, 435, 525, 609, 725, 1015, 1305, 1575, 1827, 2175, 3045, 5075, 6525, 9135, 15225

Step-4: Factors of 45684

List of positive integer factors of 45684 that divides 45675 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 81, 94, 108, 141, 162, 188, 243, 282, 324, 423, 486, 564, 846, 972, 1269, 1692, 2538, 3807, 5076, 7614, 11421, 15228, 22842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45675 and 45684. The biggest common factor number is the GCF number.
So the greatest common factor 45675 and 45684 is 9.

Also check out the Least Common Multiple of 45675 and 45684