What is the Greatest Common Factor of 72738 and 72756?

Greatest common factor (GCF) of 72738 and 72756 is 18.

GCF(72738,72756) = 18

We will now calculate the prime factors of 72738 and 72756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72738 and 72756.

How to find the GCF of 72738 and 72756?

We will first find the prime factorization of 72738 and 72756. After we will calculate the factors of 72738 and 72756 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72756

Prime factors of 72756 are 2, 3, 43, 47. Prime factorization of 72756 in exponential form is:

72756 = 2² × 3² × 43¹ × 47¹

Step-3: Factors of 72738

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

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

Step-4: Factors of 72756

List of positive integer factors of 72756 that divides 72738 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 47, 86, 94, 129, 141, 172, 188, 258, 282, 387, 423, 516, 564, 774, 846, 1548, 1692, 2021, 4042, 6063, 8084, 12126, 18189, 24252, 36378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72738 and 72756. The biggest common factor number is the GCF number.
So the greatest common factor 72738 and 72756 is 18.

Also check out the Least Common Multiple of 72738 and 72756