What is the Greatest Common Factor of 73172 and 73183?

Greatest common factor (GCF) of 73172 and 73183 is 11.

GCF(73172,73183) = 11

We will now calculate the prime factors of 73172 and 73183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73172 and 73183.

How to find the GCF of 73172 and 73183?

We will first find the prime factorization of 73172 and 73183. After we will calculate the factors of 73172 and 73183 and find the biggest common factor number .

Step-1: Prime Factorization of 73172

Prime factors of 73172 are 2, 11, 1663. Prime factorization of 73172 in exponential form is:

73172 = 2² × 11¹ × 1663¹

Step-2: Prime Factorization of 73183

Prime factors of 73183 are 11, 6653. Prime factorization of 73183 in exponential form is:

73183 = 11¹ × 6653¹

Step-3: Factors of 73172

List of positive integer factors of 73172 that divides 73172 without a remainder.

1, 2, 4, 11, 22, 44, 1663, 3326, 6652, 18293, 36586

Step-4: Factors of 73183

List of positive integer factors of 73183 that divides 73172 without a remainder.

1, 11, 6653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73172 and 73183. The biggest common factor number is the GCF number.
So the greatest common factor 73172 and 73183 is 11.

Also check out the Least Common Multiple of 73172 and 73183