What is the Greatest Common Factor of 88692 and 88704?

Greatest common factor (GCF) of 88692 and 88704 is 12.

GCF(88692,88704) = 12

We will now calculate the prime factors of 88692 and 88704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88692 and 88704.

How to find the GCF of 88692 and 88704?

We will first find the prime factorization of 88692 and 88704. After we will calculate the factors of 88692 and 88704 and find the biggest common factor number .

Step-1: Prime Factorization of 88692

Prime factors of 88692 are 2, 3, 19, 389. Prime factorization of 88692 in exponential form is:

88692 = 2² × 3¹ × 19¹ × 389¹

Step-2: 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-3: Factors of 88692

List of positive integer factors of 88692 that divides 88692 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 389, 778, 1167, 1556, 2334, 4668, 7391, 14782, 22173, 29564, 44346

Step-4: Factors of 88704

List of positive integer factors of 88704 that divides 88692 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88692 and 88704. The biggest common factor number is the GCF number.
So the greatest common factor 88692 and 88704 is 12.

Also check out the Least Common Multiple of 88692 and 88704