What is the Greatest Common Factor of 72740 and 72756?

Greatest common factor (GCF) of 72740 and 72756 is 4.

GCF(72740,72756) = 4

We will now calculate the prime factors of 72740 and 72756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72740 and 72756.

How to find the GCF of 72740 and 72756?

We will first find the prime factorization of 72740 and 72756. After we will calculate the factors of 72740 and 72756 and find the biggest common factor number .

Step-1: Prime Factorization of 72740

Prime factors of 72740 are 2, 5, 3637. Prime factorization of 72740 in exponential form is:

72740 = 2² × 5¹ × 3637¹

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 72740

List of positive integer factors of 72740 that divides 72740 without a remainder.

1, 2, 4, 5, 10, 20, 3637, 7274, 14548, 18185, 36370

Step-4: Factors of 72756

List of positive integer factors of 72756 that divides 72740 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 72740 and 72756. The biggest common factor number is the GCF number.
So the greatest common factor 72740 and 72756 is 4.

Also check out the Least Common Multiple of 72740 and 72756