What is the Greatest Common Factor of 73080 and 73098?

Greatest common factor (GCF) of 73080 and 73098 is 18.

GCF(73080,73098) = 18

We will now calculate the prime factors of 73080 and 73098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73080 and 73098.

How to find the GCF of 73080 and 73098?

We will first find the prime factorization of 73080 and 73098. After we will calculate the factors of 73080 and 73098 and find the biggest common factor number .

Step-1: Prime Factorization of 73080

Prime factors of 73080 are 2, 3, 5, 7, 29. Prime factorization of 73080 in exponential form is:

73080 = 2³ × 3² × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 73098

Prime factors of 73098 are 2, 3, 31, 131. Prime factorization of 73098 in exponential form is:

73098 = 2¹ × 3² × 31¹ × 131¹

Step-3: Factors of 73080

List of positive integer factors of 73080 that divides 73080 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 29, 30, 35, 36, 40, 42, 45, 56, 58, 60, 63, 70, 72, 84, 87, 90, 105, 116, 120, 126, 140, 145, 168, 174, 180, 203, 210, 232, 252, 261, 280, 290, 315, 348, 360, 406, 420, 435, 504, 522, 580, 609, 630, 696, 812, 840, 870, 1015, 1044, 1160, 1218, 1260, 1305, 1624, 1740, 1827, 2030, 2088, 2436, 2520, 2610, 3045, 3480, 3654, 4060, 4872, 5220, 6090, 7308, 8120, 9135, 10440, 12180, 14616, 18270, 24360, 36540

Step-4: Factors of 73098

List of positive integer factors of 73098 that divides 73080 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 131, 186, 262, 279, 393, 558, 786, 1179, 2358, 4061, 8122, 12183, 24366, 36549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73080 and 73098. The biggest common factor number is the GCF number.
So the greatest common factor 73080 and 73098 is 18.

Also check out the Least Common Multiple of 73080 and 73098