What is the Greatest Common Factor of 81002 and 81018?

Greatest common factor (GCF) of 81002 and 81018 is 2.

GCF(81002,81018) = 2

We will now calculate the prime factors of 81002 and 81018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81002 and 81018.

How to find the GCF of 81002 and 81018?

We will first find the prime factorization of 81002 and 81018. After we will calculate the factors of 81002 and 81018 and find the biggest common factor number .

Step-1: Prime Factorization of 81002

Prime factors of 81002 are 2, 101, 401. Prime factorization of 81002 in exponential form is:

81002 = 2¹ × 101¹ × 401¹

Step-2: Prime Factorization of 81018

Prime factors of 81018 are 2, 3, 7, 643. Prime factorization of 81018 in exponential form is:

81018 = 2¹ × 3² × 7¹ × 643¹

Step-3: Factors of 81002

List of positive integer factors of 81002 that divides 81002 without a remainder.

1, 2, 101, 202, 401, 802, 40501

Step-4: Factors of 81018

List of positive integer factors of 81018 that divides 81002 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 643, 1286, 1929, 3858, 4501, 5787, 9002, 11574, 13503, 27006, 40509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81002 and 81018. The biggest common factor number is the GCF number.
So the greatest common factor 81002 and 81018 is 2.

Also check out the Least Common Multiple of 81002 and 81018