What is the Greatest Common Factor of 72360 and 72371?

Greatest common factor (GCF) of 72360 and 72371 is 1.

GCF(72360,72371) = 1

We will now calculate the prime factors of 72360 and 72371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72360 and 72371.

How to find the GCF of 72360 and 72371?

We will first find the prime factorization of 72360 and 72371. After we will calculate the factors of 72360 and 72371 and find the biggest common factor number .

Step-1: Prime Factorization of 72360

Prime factors of 72360 are 2, 3, 5, 67. Prime factorization of 72360 in exponential form is:

72360 = 2³ × 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 72371

Prime factors of 72371 are 13, 19, 293. Prime factorization of 72371 in exponential form is:

72371 = 13¹ × 19¹ × 293¹

Step-3: Factors of 72360

List of positive integer factors of 72360 that divides 72360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 67, 72, 90, 108, 120, 134, 135, 180, 201, 216, 268, 270, 335, 360, 402, 536, 540, 603, 670, 804, 1005, 1080, 1206, 1340, 1608, 1809, 2010, 2412, 2680, 3015, 3618, 4020, 4824, 6030, 7236, 8040, 9045, 12060, 14472, 18090, 24120, 36180

Step-4: Factors of 72371

List of positive integer factors of 72371 that divides 72360 without a remainder.

1, 13, 19, 247, 293, 3809, 5567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72360 and 72371. The biggest common factor number is the GCF number.
So the greatest common factor 72360 and 72371 is 1.

Also check out the Least Common Multiple of 72360 and 72371