What is the Greatest Common Factor of 87228 and 87234?

Greatest common factor (GCF) of 87228 and 87234 is 6.

GCF(87228,87234) = 6

We will now calculate the prime factors of 87228 and 87234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87228 and 87234.

How to find the GCF of 87228 and 87234?

We will first find the prime factorization of 87228 and 87234. After we will calculate the factors of 87228 and 87234 and find the biggest common factor number .

Step-1: Prime Factorization of 87228

Prime factors of 87228 are 2, 3, 2423. Prime factorization of 87228 in exponential form is:

87228 = 2² × 3² × 2423¹

Step-2: 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-3: Factors of 87228

List of positive integer factors of 87228 that divides 87228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2423, 4846, 7269, 9692, 14538, 21807, 29076, 43614

Step-4: Factors of 87234

List of positive integer factors of 87234 that divides 87228 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87228 and 87234. The biggest common factor number is the GCF number.
So the greatest common factor 87228 and 87234 is 6.

Also check out the Least Common Multiple of 87228 and 87234