What is the Greatest Common Factor of 72075 and 72080?

Greatest common factor (GCF) of 72075 and 72080 is 5.

GCF(72075,72080) = 5

We will now calculate the prime factors of 72075 and 72080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72075 and 72080.

How to find the GCF of 72075 and 72080?

We will first find the prime factorization of 72075 and 72080. After we will calculate the factors of 72075 and 72080 and find the biggest common factor number .

Step-1: Prime Factorization of 72075

Prime factors of 72075 are 3, 5, 31. Prime factorization of 72075 in exponential form is:

72075 = 3¹ × 5² × 31²

Step-2: Prime Factorization of 72080

Prime factors of 72080 are 2, 5, 17, 53. Prime factorization of 72080 in exponential form is:

72080 = 2⁴ × 5¹ × 17¹ × 53¹

Step-3: Factors of 72075

List of positive integer factors of 72075 that divides 72075 without a remainder.

1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 961, 2325, 2883, 4805, 14415, 24025

Step-4: Factors of 72080

List of positive integer factors of 72080 that divides 72075 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 53, 68, 80, 85, 106, 136, 170, 212, 265, 272, 340, 424, 530, 680, 848, 901, 1060, 1360, 1802, 2120, 3604, 4240, 4505, 7208, 9010, 14416, 18020, 36040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72075 and 72080. The biggest common factor number is the GCF number.
So the greatest common factor 72075 and 72080 is 5.

Also check out the Least Common Multiple of 72075 and 72080