What is the Greatest Common Factor of 73066 and 73080?

Greatest common factor (GCF) of 73066 and 73080 is 14.

GCF(73066,73080) = 14

We will now calculate the prime factors of 73066 and 73080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73066 and 73080.

How to find the GCF of 73066 and 73080?

We will first find the prime factorization of 73066 and 73080. After we will calculate the factors of 73066 and 73080 and find the biggest common factor number .

Step-1: Prime Factorization of 73066

Prime factors of 73066 are 2, 7, 17, 307. Prime factorization of 73066 in exponential form is:

73066 = 2¹ × 7¹ × 17¹ × 307¹

Step-2: 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-3: Factors of 73066

List of positive integer factors of 73066 that divides 73066 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 307, 614, 2149, 4298, 5219, 10438, 36533

Step-4: Factors of 73080

List of positive integer factors of 73080 that divides 73066 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73066 and 73080. The biggest common factor number is the GCF number.
So the greatest common factor 73066 and 73080 is 14.

Also check out the Least Common Multiple of 73066 and 73080