What is the Greatest Common Factor of 69918 and 69927?

Greatest common factor (GCF) of 69918 and 69927 is 3.

GCF(69918,69927) = 3

We will now calculate the prime factors of 69918 and 69927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69918 and 69927.

How to find the GCF of 69918 and 69927?

We will first find the prime factorization of 69918 and 69927. After we will calculate the factors of 69918 and 69927 and find the biggest common factor number .

Step-1: Prime Factorization of 69918

Prime factors of 69918 are 2, 3, 43, 271. Prime factorization of 69918 in exponential form is:

69918 = 2¹ × 3¹ × 43¹ × 271¹

Step-2: Prime Factorization of 69927

Prime factors of 69927 are 3, 11, 13, 163. Prime factorization of 69927 in exponential form is:

69927 = 3¹ × 11¹ × 13¹ × 163¹

Step-3: Factors of 69918

List of positive integer factors of 69918 that divides 69918 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 271, 542, 813, 1626, 11653, 23306, 34959

Step-4: Factors of 69927

List of positive integer factors of 69927 that divides 69918 without a remainder.

1, 3, 11, 13, 33, 39, 143, 163, 429, 489, 1793, 2119, 5379, 6357, 23309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69918 and 69927. The biggest common factor number is the GCF number.
So the greatest common factor 69918 and 69927 is 3.

Also check out the Least Common Multiple of 69918 and 69927