What is the Greatest Common Factor of 72720 and 72740?

Greatest common factor (GCF) of 72720 and 72740 is 20.

GCF(72720,72740) = 20

We will now calculate the prime factors of 72720 and 72740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72720 and 72740.

How to find the GCF of 72720 and 72740?

We will first find the prime factorization of 72720 and 72740. After we will calculate the factors of 72720 and 72740 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 72740

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

72740 = 2² × 5¹ × 3637¹

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 72740

List of positive integer factors of 72740 that divides 72720 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72720 and 72740. The biggest common factor number is the GCF number.
So the greatest common factor 72720 and 72740 is 20.

Also check out the Least Common Multiple of 72720 and 72740