What is the Greatest Common Factor of 72360 and 72370?

Greatest common factor (GCF) of 72360 and 72370 is 10.

GCF(72360,72370) = 10

We will now calculate the prime factors of 72360 and 72370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72360 and 72370.

How to find the GCF of 72360 and 72370?

We will first find the prime factorization of 72360 and 72370. After we will calculate the factors of 72360 and 72370 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 72370

Prime factors of 72370 are 2, 5, 7237. Prime factorization of 72370 in exponential form is:

72370 = 2¹ × 5¹ × 7237¹

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 72370

List of positive integer factors of 72370 that divides 72360 without a remainder.

1, 2, 5, 10, 7237, 14474, 36185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72360 and 72370. The biggest common factor number is the GCF number.
So the greatest common factor 72360 and 72370 is 10.

Also check out the Least Common Multiple of 72360 and 72370