What is the Greatest Common Factor of 73059 and 73067?

Greatest common factor (GCF) of 73059 and 73067 is 1.

GCF(73059,73067) = 1

We will now calculate the prime factors of 73059 and 73067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73059 and 73067.

How to find the GCF of 73059 and 73067?

We will first find the prime factorization of 73059 and 73067. After we will calculate the factors of 73059 and 73067 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 73067

Prime factors of 73067 are 31, 2357. Prime factorization of 73067 in exponential form is:

73067 = 31¹ × 2357¹

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 73067

List of positive integer factors of 73067 that divides 73059 without a remainder.

1, 31, 2357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73059 and 73067. The biggest common factor number is the GCF number.
So the greatest common factor 73059 and 73067 is 1.

Also check out the Least Common Multiple of 73059 and 73067