What is the Greatest Common Factor of 87214 and 87230?

Greatest common factor (GCF) of 87214 and 87230 is 2.

GCF(87214,87230) = 2

We will now calculate the prime factors of 87214 and 87230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87214 and 87230.

How to find the GCF of 87214 and 87230?

We will first find the prime factorization of 87214 and 87230. After we will calculate the factors of 87214 and 87230 and find the biggest common factor number .

Step-1: Prime Factorization of 87214

Prime factors of 87214 are 2, 43607. Prime factorization of 87214 in exponential form is:

87214 = 2¹ × 43607¹

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 87214

List of positive integer factors of 87214 that divides 87214 without a remainder.

1, 2, 43607

Step-4: Factors of 87230

List of positive integer factors of 87230 that divides 87214 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 87214 and 87230. The biggest common factor number is the GCF number.
So the greatest common factor 87214 and 87230 is 2.

Also check out the Least Common Multiple of 87214 and 87230