What is the Greatest Common Factor of 72436 and 72449?

Greatest common factor (GCF) of 72436 and 72449 is 13.

GCF(72436,72449) = 13

We will now calculate the prime factors of 72436 and 72449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72436 and 72449.

How to find the GCF of 72436 and 72449?

We will first find the prime factorization of 72436 and 72449. After we will calculate the factors of 72436 and 72449 and find the biggest common factor number .

Step-1: Prime Factorization of 72436

Prime factors of 72436 are 2, 7, 13, 199. Prime factorization of 72436 in exponential form is:

72436 = 2² × 7¹ × 13¹ × 199¹

Step-2: Prime Factorization of 72449

Prime factors of 72449 are 13, 5573. Prime factorization of 72449 in exponential form is:

72449 = 13¹ × 5573¹

Step-3: Factors of 72436

List of positive integer factors of 72436 that divides 72436 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 199, 364, 398, 796, 1393, 2587, 2786, 5174, 5572, 10348, 18109, 36218

Step-4: Factors of 72449

List of positive integer factors of 72449 that divides 72436 without a remainder.

1, 13, 5573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72436 and 72449. The biggest common factor number is the GCF number.
So the greatest common factor 72436 and 72449 is 13.

Also check out the Least Common Multiple of 72436 and 72449