What is the Greatest Common Factor of 87846 and 87852?

Greatest common factor (GCF) of 87846 and 87852 is 6.

GCF(87846,87852) = 6

We will now calculate the prime factors of 87846 and 87852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87846 and 87852.

How to find the GCF of 87846 and 87852?

We will first find the prime factorization of 87846 and 87852. After we will calculate the factors of 87846 and 87852 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 87852

Prime factors of 87852 are 2, 3, 7321. Prime factorization of 87852 in exponential form is:

87852 = 2² × 3¹ × 7321¹

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 87852

List of positive integer factors of 87852 that divides 87846 without a remainder.

1, 2, 3, 4, 6, 12, 7321, 14642, 21963, 29284, 43926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87846 and 87852. The biggest common factor number is the GCF number.
So the greatest common factor 87846 and 87852 is 6.

Also check out the Least Common Multiple of 87846 and 87852