What is the Greatest Common Factor of 87285 and 87290?

Greatest common factor (GCF) of 87285 and 87290 is 5.

GCF(87285,87290) = 5

We will now calculate the prime factors of 87285 and 87290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87285 and 87290.

How to find the GCF of 87285 and 87290?

We will first find the prime factorization of 87285 and 87290. After we will calculate the factors of 87285 and 87290 and find the biggest common factor number .

Step-1: Prime Factorization of 87285

Prime factors of 87285 are 3, 5, 11, 23. Prime factorization of 87285 in exponential form is:

87285 = 3¹ × 5¹ × 11¹ × 23²

Step-2: Prime Factorization of 87290

Prime factors of 87290 are 2, 5, 7, 29, 43. Prime factorization of 87290 in exponential form is:

87290 = 2¹ × 5¹ × 7¹ × 29¹ × 43¹

Step-3: Factors of 87285

List of positive integer factors of 87285 that divides 87285 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 529, 759, 1265, 1587, 2645, 3795, 5819, 7935, 17457, 29095

Step-4: Factors of 87290

List of positive integer factors of 87290 that divides 87285 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 43, 58, 70, 86, 145, 203, 215, 290, 301, 406, 430, 602, 1015, 1247, 1505, 2030, 2494, 3010, 6235, 8729, 12470, 17458, 43645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87285 and 87290. The biggest common factor number is the GCF number.
So the greatest common factor 87285 and 87290 is 5.

Also check out the Least Common Multiple of 87285 and 87290