What is the Greatest Common Factor of 87846 and 87858?

Greatest common factor (GCF) of 87846 and 87858 is 6.

GCF(87846,87858) = 6

We will now calculate the prime factors of 87846 and 87858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87846 and 87858.

How to find the GCF of 87846 and 87858?

We will first find the prime factorization of 87846 and 87858. After we will calculate the factors of 87846 and 87858 and find the biggest common factor number .

Step-1: Prime Factorization of 87846

Prime factors of 87846 are 2, 3, 11. Prime factorization of 87846 in exponential form is:

87846 = 2¹ × 3¹ × 11⁴

Step-2: Prime Factorization of 87858

Prime factors of 87858 are 2, 3, 1627. Prime factorization of 87858 in exponential form is:

87858 = 2¹ × 3³ × 1627¹

Step-3: Factors of 87846

List of positive integer factors of 87846 that divides 87846 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986, 14641, 29282, 43923

Step-4: Factors of 87858

List of positive integer factors of 87858 that divides 87846 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1627, 3254, 4881, 9762, 14643, 29286, 43929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87846 and 87858. The biggest common factor number is the GCF number.
So the greatest common factor 87846 and 87858 is 6.

Also check out the Least Common Multiple of 87846 and 87858