What is the Greatest Common Factor of 87230 and 87235?

Greatest common factor (GCF) of 87230 and 87235 is 5.

GCF(87230,87235) = 5

We will now calculate the prime factors of 87230 and 87235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87230 and 87235.

How to find the GCF of 87230 and 87235?

We will first find the prime factorization of 87230 and 87235. After we will calculate the factors of 87230 and 87235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87235

Prime factors of 87235 are 5, 73, 239. Prime factorization of 87235 in exponential form is:

87235 = 5¹ × 73¹ × 239¹

Step-3: Factors of 87230

List of positive integer factors of 87230 that divides 87230 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

Step-4: Factors of 87235

List of positive integer factors of 87235 that divides 87230 without a remainder.

1, 5, 73, 239, 365, 1195, 17447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87230 and 87235. The biggest common factor number is the GCF number.
So the greatest common factor 87230 and 87235 is 5.

Also check out the Least Common Multiple of 87230 and 87235