What is the Greatest Common Factor of 87006 and 87018?

Greatest common factor (GCF) of 87006 and 87018 is 6.

GCF(87006,87018) = 6

We will now calculate the prime factors of 87006 and 87018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87006 and 87018.

How to find the GCF of 87006 and 87018?

We will first find the prime factorization of 87006 and 87018. After we will calculate the factors of 87006 and 87018 and find the biggest common factor number .

Step-1: Prime Factorization of 87006

Prime factors of 87006 are 2, 3, 17, 853. Prime factorization of 87006 in exponential form is:

87006 = 2¹ × 3¹ × 17¹ × 853¹

Step-2: Prime Factorization of 87018

Prime factors of 87018 are 2, 3, 14503. Prime factorization of 87018 in exponential form is:

87018 = 2¹ × 3¹ × 14503¹

Step-3: Factors of 87006

List of positive integer factors of 87006 that divides 87006 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 853, 1706, 2559, 5118, 14501, 29002, 43503

Step-4: Factors of 87018

List of positive integer factors of 87018 that divides 87006 without a remainder.

1, 2, 3, 6, 14503, 29006, 43509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87006 and 87018. The biggest common factor number is the GCF number.
So the greatest common factor 87006 and 87018 is 6.

Also check out the Least Common Multiple of 87006 and 87018