What is the Greatest Common Factor of 87225 and 87230?

Greatest common factor (GCF) of 87225 and 87230 is 5.

GCF(87225,87230) = 5

We will now calculate the prime factors of 87225 and 87230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87225 and 87230.

How to find the GCF of 87225 and 87230?

We will first find the prime factorization of 87225 and 87230. After we will calculate the factors of 87225 and 87230 and find the biggest common factor number .

Step-1: Prime Factorization of 87225

Prime factors of 87225 are 3, 5, 1163. Prime factorization of 87225 in exponential form is:

87225 = 3¹ × 5² × 1163¹

Step-2: Prime Factorization of 87230

Prime factors of 87230 are 2, 5, 11, 13, 61. Prime factorization of 87230 in exponential form is:

87230 = 2¹ × 5¹ × 11¹ × 13¹ × 61¹

Step-3: Factors of 87225

List of positive integer factors of 87225 that divides 87225 without a remainder.

1, 3, 5, 15, 25, 75, 1163, 3489, 5815, 17445, 29075

Step-4: Factors of 87230

List of positive integer factors of 87230 that divides 87225 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 61, 65, 110, 122, 130, 143, 286, 305, 610, 671, 715, 793, 1342, 1430, 1586, 3355, 3965, 6710, 7930, 8723, 17446, 43615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87225 and 87230. The biggest common factor number is the GCF number.
So the greatest common factor 87225 and 87230 is 5.

Also check out the Least Common Multiple of 87225 and 87230