What is the Greatest Common Factor of 87843 and 87849?

Greatest common factor (GCF) of 87843 and 87849 is 3.

GCF(87843,87849) = 3

We will now calculate the prime factors of 87843 and 87849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87843 and 87849.

How to find the GCF of 87843 and 87849?

We will first find the prime factorization of 87843 and 87849. After we will calculate the factors of 87843 and 87849 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 87849

Prime factors of 87849 are 3, 43, 227. Prime factorization of 87849 in exponential form is:

87849 = 3² × 43¹ × 227¹

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 87849

List of positive integer factors of 87849 that divides 87843 without a remainder.

1, 3, 9, 43, 129, 227, 387, 681, 2043, 9761, 29283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87843 and 87849. The biggest common factor number is the GCF number.
So the greatest common factor 87843 and 87849 is 3.

Also check out the Least Common Multiple of 87843 and 87849