What is the Greatest Common Factor of 45696 and 45708?

Greatest common factor (GCF) of 45696 and 45708 is 12.

GCF(45696,45708) = 12

We will now calculate the prime factors of 45696 and 45708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45696 and 45708.

How to find the GCF of 45696 and 45708?

We will first find the prime factorization of 45696 and 45708. After we will calculate the factors of 45696 and 45708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45708

Prime factors of 45708 are 2, 3, 13, 293. Prime factorization of 45708 in exponential form is:

45708 = 2² × 3¹ × 13¹ × 293¹

Step-3: Factors of 45696

List of positive integer factors of 45696 that divides 45696 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

Step-4: Factors of 45708

List of positive integer factors of 45708 that divides 45696 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 293, 586, 879, 1172, 1758, 3516, 3809, 7618, 11427, 15236, 22854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45696 and 45708. The biggest common factor number is the GCF number.
So the greatest common factor 45696 and 45708 is 12.

Also check out the Least Common Multiple of 45696 and 45708