What is the Greatest Common Factor of 87843 and 87857?

Greatest common factor (GCF) of 87843 and 87857 is 7.

GCF(87843,87857) = 7

We will now calculate the prime factors of 87843 and 87857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87843 and 87857.

How to find the GCF of 87843 and 87857?

We will first find the prime factorization of 87843 and 87857. After we will calculate the factors of 87843 and 87857 and find the biggest common factor number .

Step-1: Prime Factorization of 87843

Prime factors of 87843 are 3, 7, 47, 89. Prime factorization of 87843 in exponential form is:

87843 = 3¹ × 7¹ × 47¹ × 89¹

Step-2: Prime Factorization of 87857

Prime factors of 87857 are 7, 11, 163. Prime factorization of 87857 in exponential form is:

87857 = 7² × 11¹ × 163¹

Step-3: Factors of 87843

List of positive integer factors of 87843 that divides 87843 without a remainder.

1, 3, 7, 21, 47, 89, 141, 267, 329, 623, 987, 1869, 4183, 12549, 29281

Step-4: Factors of 87857

List of positive integer factors of 87857 that divides 87843 without a remainder.

1, 7, 11, 49, 77, 163, 539, 1141, 1793, 7987, 12551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87843 and 87857. The biggest common factor number is the GCF number.
So the greatest common factor 87843 and 87857 is 7.

Also check out the Least Common Multiple of 87843 and 87857