What is the Greatest Common Factor of 87234 and 87242?

Greatest common factor (GCF) of 87234 and 87242 is 2.

GCF(87234,87242) = 2

We will now calculate the prime factors of 87234 and 87242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87234 and 87242.

How to find the GCF of 87234 and 87242?

We will first find the prime factorization of 87234 and 87242. After we will calculate the factors of 87234 and 87242 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 87242

Prime factors of 87242 are 2, 181, 241. Prime factorization of 87242 in exponential form is:

87242 = 2¹ × 181¹ × 241¹

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 87242

List of positive integer factors of 87242 that divides 87234 without a remainder.

1, 2, 181, 241, 362, 482, 43621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87234 and 87242. The biggest common factor number is the GCF number.
So the greatest common factor 87234 and 87242 is 2.

Also check out the Least Common Multiple of 87234 and 87242