What is the Greatest Common Factor of 99110 and 99120?

Greatest common factor (GCF) of 99110 and 99120 is 10.

GCF(99110,99120) = 10

We will now calculate the prime factors of 99110 and 99120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99110 and 99120.

How to find the GCF of 99110 and 99120?

We will first find the prime factorization of 99110 and 99120. After we will calculate the factors of 99110 and 99120 and find the biggest common factor number .

Step-1: Prime Factorization of 99110

Prime factors of 99110 are 2, 5, 11, 17, 53. Prime factorization of 99110 in exponential form is:

99110 = 2¹ × 5¹ × 11¹ × 17¹ × 53¹

Step-2: Prime Factorization of 99120

Prime factors of 99120 are 2, 3, 5, 7, 59. Prime factorization of 99120 in exponential form is:

99120 = 2⁴ × 3¹ × 5¹ × 7¹ × 59¹

Step-3: Factors of 99110

List of positive integer factors of 99110 that divides 99110 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 53, 55, 85, 106, 110, 170, 187, 265, 374, 530, 583, 901, 935, 1166, 1802, 1870, 2915, 4505, 5830, 9010, 9911, 19822, 49555

Step-4: Factors of 99120

List of positive integer factors of 99120 that divides 99110 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 59, 60, 70, 80, 84, 105, 112, 118, 120, 140, 168, 177, 210, 236, 240, 280, 295, 336, 354, 413, 420, 472, 560, 590, 708, 826, 840, 885, 944, 1180, 1239, 1416, 1652, 1680, 1770, 2065, 2360, 2478, 2832, 3304, 3540, 4130, 4720, 4956, 6195, 6608, 7080, 8260, 9912, 12390, 14160, 16520, 19824, 24780, 33040, 49560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99110 and 99120. The biggest common factor number is the GCF number.
So the greatest common factor 99110 and 99120 is 10.

Also check out the Least Common Multiple of 99110 and 99120