What is the Greatest Common Factor of 73059 and 73073?

Greatest common factor (GCF) of 73059 and 73073 is 7.

GCF(73059,73073) = 7

We will now calculate the prime factors of 73059 and 73073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73059 and 73073.

How to find the GCF of 73059 and 73073?

We will first find the prime factorization of 73059 and 73073. After we will calculate the factors of 73059 and 73073 and find the biggest common factor number .

Step-1: Prime Factorization of 73059

Prime factors of 73059 are 3, 7, 71. Prime factorization of 73059 in exponential form is:

73059 = 3¹ × 7³ × 71¹

Step-2: 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-3: Factors of 73059

List of positive integer factors of 73059 that divides 73059 without a remainder.

1, 3, 7, 21, 49, 71, 147, 213, 343, 497, 1029, 1491, 3479, 10437, 24353

Step-4: Factors of 73073

List of positive integer factors of 73073 that divides 73059 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73059 and 73073. The biggest common factor number is the GCF number.
So the greatest common factor 73059 and 73073 is 7.

Also check out the Least Common Multiple of 73059 and 73073