What is the Greatest Common Factor of 87234 and 87243?

Greatest common factor (GCF) of 87234 and 87243 is 3.

GCF(87234,87243) = 3

We will now calculate the prime factors of 87234 and 87243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87234 and 87243.

How to find the GCF of 87234 and 87243?

We will first find the prime factorization of 87234 and 87243. After we will calculate the factors of 87234 and 87243 and find the biggest common factor number .

Step-1: Prime Factorization of 87234

Prime factors of 87234 are 2, 3, 7, 31, 67. Prime factorization of 87234 in exponential form is:

87234 = 2¹ × 3¹ × 7¹ × 31¹ × 67¹

Step-2: Prime Factorization of 87243

Prime factors of 87243 are 3, 13, 2237. Prime factorization of 87243 in exponential form is:

87243 = 3¹ × 13¹ × 2237¹

Step-3: Factors of 87234

List of positive integer factors of 87234 that divides 87234 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 67, 93, 134, 186, 201, 217, 402, 434, 469, 651, 938, 1302, 1407, 2077, 2814, 4154, 6231, 12462, 14539, 29078, 43617

Step-4: Factors of 87243

List of positive integer factors of 87243 that divides 87234 without a remainder.

1, 3, 13, 39, 2237, 6711, 29081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87234 and 87243. The biggest common factor number is the GCF number.
So the greatest common factor 87234 and 87243 is 3.

Also check out the Least Common Multiple of 87234 and 87243