What is the Greatest Common Factor of 72382 and 72400?

Greatest common factor (GCF) of 72382 and 72400 is 2.

GCF(72382,72400) = 2

We will now calculate the prime factors of 72382 and 72400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72382 and 72400.

How to find the GCF of 72382 and 72400?

We will first find the prime factorization of 72382 and 72400. After we will calculate the factors of 72382 and 72400 and find the biggest common factor number .

Step-1: Prime Factorization of 72382

Prime factors of 72382 are 2, 36191. Prime factorization of 72382 in exponential form is:

72382 = 2¹ × 36191¹

Step-2: Prime Factorization of 72400

Prime factors of 72400 are 2, 5, 181. Prime factorization of 72400 in exponential form is:

72400 = 2⁴ × 5² × 181¹

Step-3: Factors of 72382

List of positive integer factors of 72382 that divides 72382 without a remainder.

1, 2, 36191

Step-4: Factors of 72400

List of positive integer factors of 72400 that divides 72382 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 181, 200, 362, 400, 724, 905, 1448, 1810, 2896, 3620, 4525, 7240, 9050, 14480, 18100, 36200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72382 and 72400. The biggest common factor number is the GCF number.
So the greatest common factor 72382 and 72400 is 2.

Also check out the Least Common Multiple of 72382 and 72400