What is the Greatest Common Factor of 87217 and 87230?

Greatest common factor (GCF) of 87217 and 87230 is 13.

GCF(87217,87230) = 13

We will now calculate the prime factors of 87217 and 87230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87217 and 87230.

How to find the GCF of 87217 and 87230?

We will first find the prime factorization of 87217 and 87230. After we will calculate the factors of 87217 and 87230 and find the biggest common factor number .

Step-1: Prime Factorization of 87217

Prime factors of 87217 are 13, 6709. Prime factorization of 87217 in exponential form is:

87217 = 13¹ × 6709¹

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 87217

List of positive integer factors of 87217 that divides 87217 without a remainder.

1, 13, 6709

Step-4: Factors of 87230

List of positive integer factors of 87230 that divides 87217 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 87217 and 87230. The biggest common factor number is the GCF number.
So the greatest common factor 87217 and 87230 is 13.

Also check out the Least Common Multiple of 87217 and 87230