What is the Greatest Common Factor of 88690 and 88704?

Greatest common factor (GCF) of 88690 and 88704 is 14.

GCF(88690,88704) = 14

We will now calculate the prime factors of 88690 and 88704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88690 and 88704.

How to find the GCF of 88690 and 88704?

We will first find the prime factorization of 88690 and 88704. After we will calculate the factors of 88690 and 88704 and find the biggest common factor number .

Step-1: Prime Factorization of 88690

Prime factors of 88690 are 2, 5, 7, 181. Prime factorization of 88690 in exponential form is:

88690 = 2¹ × 5¹ × 7² × 181¹

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 88690

List of positive integer factors of 88690 that divides 88690 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 181, 245, 362, 490, 905, 1267, 1810, 2534, 6335, 8869, 12670, 17738, 44345

Step-4: Factors of 88704

List of positive integer factors of 88704 that divides 88690 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 88690 and 88704. The biggest common factor number is the GCF number.
So the greatest common factor 88690 and 88704 is 14.

Also check out the Least Common Multiple of 88690 and 88704