What is the Greatest Common Factor of 72150 and 72155?

Greatest common factor (GCF) of 72150 and 72155 is 5.

GCF(72150,72155) = 5

We will now calculate the prime factors of 72150 and 72155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72150 and 72155.

How to find the GCF of 72150 and 72155?

We will first find the prime factorization of 72150 and 72155. After we will calculate the factors of 72150 and 72155 and find the biggest common factor number .

Step-1: Prime Factorization of 72150

Prime factors of 72150 are 2, 3, 5, 13, 37. Prime factorization of 72150 in exponential form is:

72150 = 2¹ × 3¹ × 5² × 13¹ × 37¹

Step-2: Prime Factorization of 72155

Prime factors of 72155 are 5, 14431. Prime factorization of 72155 in exponential form is:

72155 = 5¹ × 14431¹

Step-3: Factors of 72150

List of positive integer factors of 72150 that divides 72150 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 37, 39, 50, 65, 74, 75, 78, 111, 130, 150, 185, 195, 222, 325, 370, 390, 481, 555, 650, 925, 962, 975, 1110, 1443, 1850, 1950, 2405, 2775, 2886, 4810, 5550, 7215, 12025, 14430, 24050, 36075

Step-4: Factors of 72155

List of positive integer factors of 72155 that divides 72150 without a remainder.

1, 5, 14431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72150 and 72155. The biggest common factor number is the GCF number.
So the greatest common factor 72150 and 72155 is 5.

Also check out the Least Common Multiple of 72150 and 72155