What is the Greatest Common Factor of 90072 and 90090?

Greatest common factor (GCF) of 90072 and 90090 is 18.

GCF(90072,90090) = 18

We will now calculate the prime factors of 90072 and 90090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90072 and 90090.

How to find the GCF of 90072 and 90090?

We will first find the prime factorization of 90072 and 90090. After we will calculate the factors of 90072 and 90090 and find the biggest common factor number .

Step-1: Prime Factorization of 90072

Prime factors of 90072 are 2, 3, 139. Prime factorization of 90072 in exponential form is:

90072 = 2³ × 3⁴ × 139¹

Step-2: 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-3: Factors of 90072

List of positive integer factors of 90072 that divides 90072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 139, 162, 216, 278, 324, 417, 556, 648, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 11259, 15012, 22518, 30024, 45036

Step-4: Factors of 90090

List of positive integer factors of 90090 that divides 90072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90072 and 90090. The biggest common factor number is the GCF number.
So the greatest common factor 90072 and 90090 is 18.

Also check out the Least Common Multiple of 90072 and 90090