What is the Greatest Common Factor of 72416 and 72423?

Greatest common factor (GCF) of 72416 and 72423 is 1.

GCF(72416,72423) = 1

We will now calculate the prime factors of 72416 and 72423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72416 and 72423.

How to find the GCF of 72416 and 72423?

We will first find the prime factorization of 72416 and 72423. After we will calculate the factors of 72416 and 72423 and find the biggest common factor number .

Step-1: Prime Factorization of 72416

Prime factors of 72416 are 2, 31, 73. Prime factorization of 72416 in exponential form is:

72416 = 2⁵ × 31¹ × 73¹

Step-2: Prime Factorization of 72423

Prime factors of 72423 are 3, 13, 619. Prime factorization of 72423 in exponential form is:

72423 = 3² × 13¹ × 619¹

Step-3: Factors of 72416

List of positive integer factors of 72416 that divides 72416 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 73, 124, 146, 248, 292, 496, 584, 992, 1168, 2263, 2336, 4526, 9052, 18104, 36208

Step-4: Factors of 72423

List of positive integer factors of 72423 that divides 72416 without a remainder.

1, 3, 9, 13, 39, 117, 619, 1857, 5571, 8047, 24141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72416 and 72423. The biggest common factor number is the GCF number.
So the greatest common factor 72416 and 72423 is 1.

Also check out the Least Common Multiple of 72416 and 72423