What is the Greatest Common Factor of 73191 and 73209?

Greatest common factor (GCF) of 73191 and 73209 is 3.

GCF(73191,73209) = 3

We will now calculate the prime factors of 73191 and 73209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73191 and 73209.

How to find the GCF of 73191 and 73209?

We will first find the prime factorization of 73191 and 73209. After we will calculate the factors of 73191 and 73209 and find the biggest common factor number .

Step-1: Prime Factorization of 73191

Prime factors of 73191 are 3, 31, 787. Prime factorization of 73191 in exponential form is:

73191 = 3¹ × 31¹ × 787¹

Step-2: Prime Factorization of 73209

Prime factors of 73209 are 3, 23, 1061. Prime factorization of 73209 in exponential form is:

73209 = 3¹ × 23¹ × 1061¹

Step-3: Factors of 73191

List of positive integer factors of 73191 that divides 73191 without a remainder.

1, 3, 31, 93, 787, 2361, 24397

Step-4: Factors of 73209

List of positive integer factors of 73209 that divides 73191 without a remainder.

1, 3, 23, 69, 1061, 3183, 24403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73191 and 73209. The biggest common factor number is the GCF number.
So the greatest common factor 73191 and 73209 is 3.

Also check out the Least Common Multiple of 73191 and 73209