What is the Greatest Common Factor of 72432 and 72446?

Greatest common factor (GCF) of 72432 and 72446 is 2.

GCF(72432,72446) = 2

We will now calculate the prime factors of 72432 and 72446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72432 and 72446.

How to find the GCF of 72432 and 72446?

We will first find the prime factorization of 72432 and 72446. After we will calculate the factors of 72432 and 72446 and find the biggest common factor number .

Step-1: Prime Factorization of 72432

Prime factors of 72432 are 2, 3, 503. Prime factorization of 72432 in exponential form is:

72432 = 2⁴ × 3² × 503¹

Step-2: Prime Factorization of 72446

Prime factors of 72446 are 2, 11, 37, 89. Prime factorization of 72446 in exponential form is:

72446 = 2¹ × 11¹ × 37¹ × 89¹

Step-3: Factors of 72432

List of positive integer factors of 72432 that divides 72432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 503, 1006, 1509, 2012, 3018, 4024, 4527, 6036, 8048, 9054, 12072, 18108, 24144, 36216

Step-4: Factors of 72446

List of positive integer factors of 72446 that divides 72432 without a remainder.

1, 2, 11, 22, 37, 74, 89, 178, 407, 814, 979, 1958, 3293, 6586, 36223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72432 and 72446. The biggest common factor number is the GCF number.
So the greatest common factor 72432 and 72446 is 2.

Also check out the Least Common Multiple of 72432 and 72446