What is the Greatest Common Factor of 94230 and 94248?

Greatest common factor (GCF) of 94230 and 94248 is 18.

GCF(94230,94248) = 18

We will now calculate the prime factors of 94230 and 94248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94230 and 94248.

How to find the GCF of 94230 and 94248?

We will first find the prime factorization of 94230 and 94248. After we will calculate the factors of 94230 and 94248 and find the biggest common factor number .

Step-1: Prime Factorization of 94230

Prime factors of 94230 are 2, 3, 5, 349. Prime factorization of 94230 in exponential form is:

94230 = 2¹ × 3³ × 5¹ × 349¹

Step-2: Prime Factorization of 94248

Prime factors of 94248 are 2, 3, 7, 11, 17. Prime factorization of 94248 in exponential form is:

94248 = 2³ × 3² × 7¹ × 11¹ × 17¹

Step-3: Factors of 94230

List of positive integer factors of 94230 that divides 94230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 349, 698, 1047, 1745, 2094, 3141, 3490, 5235, 6282, 9423, 10470, 15705, 18846, 31410, 47115

Step-4: Factors of 94248

List of positive integer factors of 94248 that divides 94230 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 17, 18, 21, 22, 24, 28, 33, 34, 36, 42, 44, 51, 56, 63, 66, 68, 72, 77, 84, 88, 99, 102, 119, 126, 132, 136, 153, 154, 168, 187, 198, 204, 231, 238, 252, 264, 306, 308, 357, 374, 396, 408, 462, 476, 504, 561, 612, 616, 693, 714, 748, 792, 924, 952, 1071, 1122, 1224, 1309, 1386, 1428, 1496, 1683, 1848, 2142, 2244, 2618, 2772, 2856, 3366, 3927, 4284, 4488, 5236, 5544, 6732, 7854, 8568, 10472, 11781, 13464, 15708, 23562, 31416, 47124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94230 and 94248. The biggest common factor number is the GCF number.
So the greatest common factor 94230 and 94248 is 18.

Also check out the Least Common Multiple of 94230 and 94248