What is the Greatest Common Factor of 87822 and 87842?

Greatest common factor (GCF) of 87822 and 87842 is 2.

GCF(87822,87842) = 2

We will now calculate the prime factors of 87822 and 87842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87822 and 87842.

How to find the GCF of 87822 and 87842?

We will first find the prime factorization of 87822 and 87842. After we will calculate the factors of 87822 and 87842 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 87842

Prime factors of 87842 are 2, 167, 263. Prime factorization of 87842 in exponential form is:

87842 = 2¹ × 167¹ × 263¹

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 87842

List of positive integer factors of 87842 that divides 87822 without a remainder.

1, 2, 167, 263, 334, 526, 43921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87822 and 87842. The biggest common factor number is the GCF number.
So the greatest common factor 87822 and 87842 is 2.

Also check out the Least Common Multiple of 87822 and 87842