What is the Greatest Common Factor of 72344 and 72360?

Greatest common factor (GCF) of 72344 and 72360 is 8.

GCF(72344,72360) = 8

We will now calculate the prime factors of 72344 and 72360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72344 and 72360.

How to find the GCF of 72344 and 72360?

We will first find the prime factorization of 72344 and 72360. After we will calculate the factors of 72344 and 72360 and find the biggest common factor number .

Step-1: Prime Factorization of 72344

Prime factors of 72344 are 2, 9043. Prime factorization of 72344 in exponential form is:

72344 = 2³ × 9043¹

Step-2: 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-3: Factors of 72344

List of positive integer factors of 72344 that divides 72344 without a remainder.

1, 2, 4, 8, 9043, 18086, 36172

Step-4: Factors of 72360

List of positive integer factors of 72360 that divides 72344 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72344 and 72360. The biggest common factor number is the GCF number.
So the greatest common factor 72344 and 72360 is 8.

Also check out the Least Common Multiple of 72344 and 72360