What is the Greatest Common Factor of 87144 and 87162?

Greatest common factor (GCF) of 87144 and 87162 is 6.

GCF(87144,87162) = 6

We will now calculate the prime factors of 87144 and 87162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87144 and 87162.

How to find the GCF of 87144 and 87162?

We will first find the prime factorization of 87144 and 87162. After we will calculate the factors of 87144 and 87162 and find the biggest common factor number .

Step-1: Prime Factorization of 87144

Prime factors of 87144 are 2, 3, 3631. Prime factorization of 87144 in exponential form is:

87144 = 2³ × 3¹ × 3631¹

Step-2: Prime Factorization of 87162

Prime factors of 87162 are 2, 3, 73, 199. Prime factorization of 87162 in exponential form is:

87162 = 2¹ × 3¹ × 73¹ × 199¹

Step-3: Factors of 87144

List of positive integer factors of 87144 that divides 87144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3631, 7262, 10893, 14524, 21786, 29048, 43572

Step-4: Factors of 87162

List of positive integer factors of 87162 that divides 87144 without a remainder.

1, 2, 3, 6, 73, 146, 199, 219, 398, 438, 597, 1194, 14527, 29054, 43581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87144 and 87162. The biggest common factor number is the GCF number.
So the greatest common factor 87144 and 87162 is 6.

Also check out the Least Common Multiple of 87144 and 87162