What is the Greatest Common Factor of 73073 and 73080?

Greatest common factor (GCF) of 73073 and 73080 is 7.

GCF(73073,73080) = 7

We will now calculate the prime factors of 73073 and 73080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73073 and 73080.

How to find the GCF of 73073 and 73080?

We will first find the prime factorization of 73073 and 73080. After we will calculate the factors of 73073 and 73080 and find the biggest common factor number .

Step-1: Prime Factorization of 73073

Prime factors of 73073 are 7, 11, 13, 73. Prime factorization of 73073 in exponential form is:

73073 = 7¹ × 11¹ × 13¹ × 73¹

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 73073

List of positive integer factors of 73073 that divides 73073 without a remainder.

1, 7, 11, 13, 73, 77, 91, 143, 511, 803, 949, 1001, 5621, 6643, 10439

Step-4: Factors of 73080

List of positive integer factors of 73080 that divides 73073 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 73073 and 73080. The biggest common factor number is the GCF number.
So the greatest common factor 73073 and 73080 is 7.

Also check out the Least Common Multiple of 73073 and 73080