What is the Greatest Common Factor of 72416 and 72424?

Greatest common factor (GCF) of 72416 and 72424 is 8.

GCF(72416,72424) = 8

We will now calculate the prime factors of 72416 and 72424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72416 and 72424.

How to find the GCF of 72416 and 72424?

We will first find the prime factorization of 72416 and 72424. After we will calculate the factors of 72416 and 72424 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 72424

Prime factors of 72424 are 2, 11, 823. Prime factorization of 72424 in exponential form is:

72424 = 2³ × 11¹ × 823¹

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 72424

List of positive integer factors of 72424 that divides 72416 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 823, 1646, 3292, 6584, 9053, 18106, 36212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72416 and 72424. The biggest common factor number is the GCF number.
So the greatest common factor 72416 and 72424 is 8.

Also check out the Least Common Multiple of 72416 and 72424