What is the Greatest Common Factor of 76219 and 76232?

Greatest common factor (GCF) of 76219 and 76232 is 13.

GCF(76219,76232) = 13

We will now calculate the prime factors of 76219 and 76232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76219 and 76232.

How to find the GCF of 76219 and 76232?

We will first find the prime factorization of 76219 and 76232. After we will calculate the factors of 76219 and 76232 and find the biggest common factor number .

Step-1: Prime Factorization of 76219

Prime factors of 76219 are 11, 13, 41. Prime factorization of 76219 in exponential form is:

76219 = 11¹ × 13² × 41¹

Step-2: Prime Factorization of 76232

Prime factors of 76232 are 2, 13, 733. Prime factorization of 76232 in exponential form is:

76232 = 2³ × 13¹ × 733¹

Step-3: Factors of 76219

List of positive integer factors of 76219 that divides 76219 without a remainder.

1, 11, 13, 41, 143, 169, 451, 533, 1859, 5863, 6929

Step-4: Factors of 76232

List of positive integer factors of 76232 that divides 76219 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 733, 1466, 2932, 5864, 9529, 19058, 38116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76219 and 76232. The biggest common factor number is the GCF number.
So the greatest common factor 76219 and 76232 is 13.

Also check out the Least Common Multiple of 76219 and 76232