What is the Greatest Common Factor of 72720 and 72738?

Greatest common factor (GCF) of 72720 and 72738 is 18.

GCF(72720,72738) = 18

We will now calculate the prime factors of 72720 and 72738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72720 and 72738.

How to find the GCF of 72720 and 72738?

We will first find the prime factorization of 72720 and 72738. After we will calculate the factors of 72720 and 72738 and find the biggest common factor number .

Step-1: Prime Factorization of 72720

Prime factors of 72720 are 2, 3, 5, 101. Prime factorization of 72720 in exponential form is:

72720 = 2⁴ × 3² × 5¹ × 101¹

Step-2: Prime Factorization of 72738

Prime factors of 72738 are 2, 3, 449. Prime factorization of 72738 in exponential form is:

72738 = 2¹ × 3⁴ × 449¹

Step-3: Factors of 72720

List of positive integer factors of 72720 that divides 72720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 101, 120, 144, 180, 202, 240, 303, 360, 404, 505, 606, 720, 808, 909, 1010, 1212, 1515, 1616, 1818, 2020, 2424, 3030, 3636, 4040, 4545, 4848, 6060, 7272, 8080, 9090, 12120, 14544, 18180, 24240, 36360

Step-4: Factors of 72738

List of positive integer factors of 72738 that divides 72720 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 449, 898, 1347, 2694, 4041, 8082, 12123, 24246, 36369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72720 and 72738. The biggest common factor number is the GCF number.
So the greatest common factor 72720 and 72738 is 18.

Also check out the Least Common Multiple of 72720 and 72738