What is the Greatest Common Factor of 69900 and 69918?

Greatest common factor (GCF) of 69900 and 69918 is 6.

GCF(69900,69918) = 6

We will now calculate the prime factors of 69900 and 69918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69900 and 69918.

How to find the GCF of 69900 and 69918?

We will first find the prime factorization of 69900 and 69918. After we will calculate the factors of 69900 and 69918 and find the biggest common factor number .

Step-1: Prime Factorization of 69900

Prime factors of 69900 are 2, 3, 5, 233. Prime factorization of 69900 in exponential form is:

69900 = 2² × 3¹ × 5² × 233¹

Step-2: 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-3: Factors of 69900

List of positive integer factors of 69900 that divides 69900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 233, 300, 466, 699, 932, 1165, 1398, 2330, 2796, 3495, 4660, 5825, 6990, 11650, 13980, 17475, 23300, 34950

Step-4: Factors of 69918

List of positive integer factors of 69918 that divides 69900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69900 and 69918. The biggest common factor number is the GCF number.
So the greatest common factor 69900 and 69918 is 6.

Also check out the Least Common Multiple of 69900 and 69918