What is the Greatest Common Factor of 72150 and 72160?

Greatest common factor (GCF) of 72150 and 72160 is 10.

GCF(72150,72160) = 10

We will now calculate the prime factors of 72150 and 72160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72150 and 72160.

How to find the GCF of 72150 and 72160?

We will first find the prime factorization of 72150 and 72160. After we will calculate the factors of 72150 and 72160 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 72160

Prime factors of 72160 are 2, 5, 11, 41. Prime factorization of 72160 in exponential form is:

72160 = 2⁵ × 5¹ × 11¹ × 41¹

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 72160

List of positive integer factors of 72160 that divides 72150 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 41, 44, 55, 80, 82, 88, 110, 160, 164, 176, 205, 220, 328, 352, 410, 440, 451, 656, 820, 880, 902, 1312, 1640, 1760, 1804, 2255, 3280, 3608, 4510, 6560, 7216, 9020, 14432, 18040, 36080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72150 and 72160. The biggest common factor number is the GCF number.
So the greatest common factor 72150 and 72160 is 10.

Also check out the Least Common Multiple of 72150 and 72160