What is the Greatest Common Factor of 90090 and 90103?

Greatest common factor (GCF) of 90090 and 90103 is 13.

GCF(90090,90103) = 13

We will now calculate the prime factors of 90090 and 90103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90090 and 90103.

How to find the GCF of 90090 and 90103?

We will first find the prime factorization of 90090 and 90103. After we will calculate the factors of 90090 and 90103 and find the biggest common factor number .

Step-1: Prime Factorization of 90090

Prime factors of 90090 are 2, 3, 5, 7, 11, 13. Prime factorization of 90090 in exponential form is:

90090 = 2¹ × 3² × 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 90103

Prime factors of 90103 are 13, 29, 239. Prime factorization of 90103 in exponential form is:

90103 = 13¹ × 29¹ × 239¹

Step-3: Factors of 90090

List of positive integer factors of 90090 that divides 90090 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 18, 21, 22, 26, 30, 33, 35, 39, 42, 45, 55, 63, 65, 66, 70, 77, 78, 90, 91, 99, 105, 110, 117, 126, 130, 143, 154, 165, 182, 195, 198, 210, 231, 234, 273, 286, 315, 330, 385, 390, 429, 455, 462, 495, 546, 585, 630, 693, 715, 770, 819, 858, 910, 990, 1001, 1155, 1170, 1287, 1365, 1386, 1430, 1638, 2002, 2145, 2310, 2574, 2730, 3003, 3465, 4095, 4290, 5005, 6006, 6435, 6930, 8190, 9009, 10010, 12870, 15015, 18018, 30030, 45045

Step-4: Factors of 90103

List of positive integer factors of 90103 that divides 90090 without a remainder.

1, 13, 29, 239, 377, 3107, 6931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90090 and 90103. The biggest common factor number is the GCF number.
So the greatest common factor 90090 and 90103 is 13.

Also check out the Least Common Multiple of 90090 and 90103