What is the Greatest Common Factor of 87814 and 87822?

Greatest common factor (GCF) of 87814 and 87822 is 2.

GCF(87814,87822) = 2

We will now calculate the prime factors of 87814 and 87822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87814 and 87822.

How to find the GCF of 87814 and 87822?

We will first find the prime factorization of 87814 and 87822. After we will calculate the factors of 87814 and 87822 and find the biggest common factor number .

Step-1: Prime Factorization of 87814

Prime factors of 87814 are 2, 23, 83. Prime factorization of 87814 in exponential form is:

87814 = 2¹ × 23² × 83¹

Step-2: Prime Factorization of 87822

Prime factors of 87822 are 2, 3, 7, 17, 41. Prime factorization of 87822 in exponential form is:

87822 = 2¹ × 3² × 7¹ × 17¹ × 41¹

Step-3: Factors of 87814

List of positive integer factors of 87814 that divides 87814 without a remainder.

1, 2, 23, 46, 83, 166, 529, 1058, 1909, 3818, 43907

Step-4: Factors of 87822

List of positive integer factors of 87822 that divides 87814 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 41, 42, 51, 63, 82, 102, 119, 123, 126, 153, 238, 246, 287, 306, 357, 369, 574, 697, 714, 738, 861, 1071, 1394, 1722, 2091, 2142, 2583, 4182, 4879, 5166, 6273, 9758, 12546, 14637, 29274, 43911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87814 and 87822. The biggest common factor number is the GCF number.
So the greatest common factor 87814 and 87822 is 2.

Also check out the Least Common Multiple of 87814 and 87822