What is the Greatest Common Factor of 72875 and 72885?

Greatest common factor (GCF) of 72875 and 72885 is 5.

GCF(72875,72885) = 5

We will now calculate the prime factors of 72875 and 72885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72875 and 72885.

How to find the GCF of 72875 and 72885?

We will first find the prime factorization of 72875 and 72885. After we will calculate the factors of 72875 and 72885 and find the biggest common factor number .

Step-1: Prime Factorization of 72875

Prime factors of 72875 are 5, 11, 53. Prime factorization of 72875 in exponential form is:

72875 = 5³ × 11¹ × 53¹

Step-2: Prime Factorization of 72885

Prime factors of 72885 are 3, 5, 43, 113. Prime factorization of 72885 in exponential form is:

72885 = 3¹ × 5¹ × 43¹ × 113¹

Step-3: Factors of 72875

List of positive integer factors of 72875 that divides 72875 without a remainder.

1, 5, 11, 25, 53, 55, 125, 265, 275, 583, 1325, 1375, 2915, 6625, 14575

Step-4: Factors of 72885

List of positive integer factors of 72885 that divides 72875 without a remainder.

1, 3, 5, 15, 43, 113, 129, 215, 339, 565, 645, 1695, 4859, 14577, 24295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72875 and 72885. The biggest common factor number is the GCF number.
So the greatest common factor 72875 and 72885 is 5.

Also check out the Least Common Multiple of 72875 and 72885