What is the Greatest Common Factor of 90090 and 90108?

Greatest common factor (GCF) of 90090 and 90108 is 18.

GCF(90090,90108) = 18

We will now calculate the prime factors of 90090 and 90108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90090 and 90108.

How to find the GCF of 90090 and 90108?

We will first find the prime factorization of 90090 and 90108. After we will calculate the factors of 90090 and 90108 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 90108

Prime factors of 90108 are 2, 3, 2503. Prime factorization of 90108 in exponential form is:

90108 = 2² × 3² × 2503¹

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 90108

List of positive integer factors of 90108 that divides 90090 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2503, 5006, 7509, 10012, 15018, 22527, 30036, 45054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90090 and 90108. The biggest common factor number is the GCF number.
So the greatest common factor 90090 and 90108 is 18.

Also check out the Least Common Multiple of 90090 and 90108