What is the Greatest Common Factor of 72319 and 72332?

Greatest common factor (GCF) of 72319 and 72332 is 13.

GCF(72319,72332) = 13

We will now calculate the prime factors of 72319 and 72332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72319 and 72332.

How to find the GCF of 72319 and 72332?

We will first find the prime factorization of 72319 and 72332. After we will calculate the factors of 72319 and 72332 and find the biggest common factor number .

Step-1: Prime Factorization of 72319

Prime factors of 72319 are 13, 5563. Prime factorization of 72319 in exponential form is:

72319 = 13¹ × 5563¹

Step-2: Prime Factorization of 72332

Prime factors of 72332 are 2, 13, 107. Prime factorization of 72332 in exponential form is:

72332 = 2² × 13² × 107¹

Step-3: Factors of 72319

List of positive integer factors of 72319 that divides 72319 without a remainder.

1, 13, 5563

Step-4: Factors of 72332

List of positive integer factors of 72332 that divides 72319 without a remainder.

1, 2, 4, 13, 26, 52, 107, 169, 214, 338, 428, 676, 1391, 2782, 5564, 18083, 36166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72319 and 72332. The biggest common factor number is the GCF number.
So the greatest common factor 72319 and 72332 is 13.

Also check out the Least Common Multiple of 72319 and 72332