What is the Greatest Common Factor of 45684 and 45696?

Greatest common factor (GCF) of 45684 and 45696 is 12.

GCF(45684,45696) = 12

We will now calculate the prime factors of 45684 and 45696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45684 and 45696.

How to find the GCF of 45684 and 45696?

We will first find the prime factorization of 45684 and 45696. After we will calculate the factors of 45684 and 45696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45696

Prime factors of 45696 are 2, 3, 7, 17. Prime factorization of 45696 in exponential form is:

45696 = 2⁷ × 3¹ × 7¹ × 17¹

Step-3: Factors of 45684

List of positive integer factors of 45684 that divides 45684 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

Step-4: Factors of 45696

List of positive integer factors of 45696 that divides 45684 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 64, 68, 84, 96, 102, 112, 119, 128, 136, 168, 192, 204, 224, 238, 272, 336, 357, 384, 408, 448, 476, 544, 672, 714, 816, 896, 952, 1088, 1344, 1428, 1632, 1904, 2176, 2688, 2856, 3264, 3808, 5712, 6528, 7616, 11424, 15232, 22848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45684 and 45696. The biggest common factor number is the GCF number.
So the greatest common factor 45684 and 45696 is 12.

Also check out the Least Common Multiple of 45684 and 45696