What is the Greatest Common Factor of 88704 and 88724?

Greatest common factor (GCF) of 88704 and 88724 is 4.

GCF(88704,88724) = 4

We will now calculate the prime factors of 88704 and 88724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88704 and 88724.

How to find the GCF of 88704 and 88724?

We will first find the prime factorization of 88704 and 88724. After we will calculate the factors of 88704 and 88724 and find the biggest common factor number .

Step-1: Prime Factorization of 88704

Prime factors of 88704 are 2, 3, 7, 11. Prime factorization of 88704 in exponential form is:

88704 = 2⁷ × 3² × 7¹ × 11¹

Step-2: Prime Factorization of 88724

Prime factors of 88724 are 2, 41, 541. Prime factorization of 88724 in exponential form is:

88724 = 2² × 41¹ × 541¹

Step-3: Factors of 88704

List of positive integer factors of 88704 that divides 88704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 22, 24, 28, 32, 33, 36, 42, 44, 48, 56, 63, 64, 66, 72, 77, 84, 88, 96, 99, 112, 126, 128, 132, 144, 154, 168, 176, 192, 198, 224, 231, 252, 264, 288, 308, 336, 352, 384, 396, 448, 462, 504, 528, 576, 616, 672, 693, 704, 792, 896, 924, 1008, 1056, 1152, 1232, 1344, 1386, 1408, 1584, 1848, 2016, 2112, 2464, 2688, 2772, 3168, 3696, 4032, 4224, 4928, 5544, 6336, 7392, 8064, 9856, 11088, 12672, 14784, 22176, 29568, 44352

Step-4: Factors of 88724

List of positive integer factors of 88724 that divides 88704 without a remainder.

1, 2, 4, 41, 82, 164, 541, 1082, 2164, 22181, 44362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88704 and 88724. The biggest common factor number is the GCF number.
So the greatest common factor 88704 and 88724 is 4.

Also check out the Least Common Multiple of 88704 and 88724