What is the Greatest Common Factor of 87822 and 87834?

Greatest common factor (GCF) of 87822 and 87834 is 6.

GCF(87822,87834) = 6

We will now calculate the prime factors of 87822 and 87834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87822 and 87834.

How to find the GCF of 87822 and 87834?

We will first find the prime factorization of 87822 and 87834. After we will calculate the factors of 87822 and 87834 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87834

Prime factors of 87834 are 2, 3, 14639. Prime factorization of 87834 in exponential form is:

87834 = 2¹ × 3¹ × 14639¹

Step-3: Factors of 87822

List of positive integer factors of 87822 that divides 87822 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

Step-4: Factors of 87834

List of positive integer factors of 87834 that divides 87822 without a remainder.

1, 2, 3, 6, 14639, 29278, 43917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87822 and 87834. The biggest common factor number is the GCF number.
So the greatest common factor 87822 and 87834 is 6.

Also check out the Least Common Multiple of 87822 and 87834