What is the Greatest Common Factor of 81018 and 81025?

Greatest common factor (GCF) of 81018 and 81025 is 7.

GCF(81018,81025) = 7

We will now calculate the prime factors of 81018 and 81025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81018 and 81025.

How to find the GCF of 81018 and 81025?

We will first find the prime factorization of 81018 and 81025. After we will calculate the factors of 81018 and 81025 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81025

Prime factors of 81025 are 5, 7, 463. Prime factorization of 81025 in exponential form is:

81025 = 5² × 7¹ × 463¹

Step-3: Factors of 81018

List of positive integer factors of 81018 that divides 81018 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

Step-4: Factors of 81025

List of positive integer factors of 81025 that divides 81018 without a remainder.

1, 5, 7, 25, 35, 175, 463, 2315, 3241, 11575, 16205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81018 and 81025. The biggest common factor number is the GCF number.
So the greatest common factor 81018 and 81025 is 7.

Also check out the Least Common Multiple of 81018 and 81025