What is the Greatest Common Factor of 87147 and 87162?

Greatest common factor (GCF) of 87147 and 87162 is 3.

GCF(87147,87162) = 3

We will now calculate the prime factors of 87147 and 87162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87147 and 87162.

How to find the GCF of 87147 and 87162?

We will first find the prime factorization of 87147 and 87162. After we will calculate the factors of 87147 and 87162 and find the biggest common factor number .

Step-1: Prime Factorization of 87147

Prime factors of 87147 are 3, 23, 421. Prime factorization of 87147 in exponential form is:

87147 = 3² × 23¹ × 421¹

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 87147

List of positive integer factors of 87147 that divides 87147 without a remainder.

1, 3, 9, 23, 69, 207, 421, 1263, 3789, 9683, 29049

Step-4: Factors of 87162

List of positive integer factors of 87162 that divides 87147 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 87147 and 87162. The biggest common factor number is the GCF number.
So the greatest common factor 87147 and 87162 is 3.

Also check out the Least Common Multiple of 87147 and 87162