What is the Greatest Common Factor of 72784 and 72799?

Greatest common factor (GCF) of 72784 and 72799 is 1.

GCF(72784,72799) = 1

We will now calculate the prime factors of 72784 and 72799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72784 and 72799.

How to find the GCF of 72784 and 72799?

We will first find the prime factorization of 72784 and 72799. After we will calculate the factors of 72784 and 72799 and find the biggest common factor number .

Step-1: Prime Factorization of 72784

Prime factors of 72784 are 2, 4549. Prime factorization of 72784 in exponential form is:

72784 = 2⁴ × 4549¹

Step-2: Prime Factorization of 72799

Prime factors of 72799 are 43, 1693. Prime factorization of 72799 in exponential form is:

72799 = 43¹ × 1693¹

Step-3: Factors of 72784

List of positive integer factors of 72784 that divides 72784 without a remainder.

1, 2, 4, 8, 16, 4549, 9098, 18196, 36392

Step-4: Factors of 72799

List of positive integer factors of 72799 that divides 72784 without a remainder.

1, 43, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72784 and 72799. The biggest common factor number is the GCF number.
So the greatest common factor 72784 and 72799 is 1.

Also check out the Least Common Multiple of 72784 and 72799