What is the Greatest Common Factor of 69900 and 69912?

Greatest common factor (GCF) of 69900 and 69912 is 12.

GCF(69900,69912) = 12

We will now calculate the prime factors of 69900 and 69912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69900 and 69912.

How to find the GCF of 69900 and 69912?

We will first find the prime factorization of 69900 and 69912. After we will calculate the factors of 69900 and 69912 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 69912

Prime factors of 69912 are 2, 3, 971. Prime factorization of 69912 in exponential form is:

69912 = 2³ × 3² × 971¹

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 69912

List of positive integer factors of 69912 that divides 69900 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 971, 1942, 2913, 3884, 5826, 7768, 8739, 11652, 17478, 23304, 34956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69900 and 69912. The biggest common factor number is the GCF number.
So the greatest common factor 69900 and 69912 is 12.

Also check out the Least Common Multiple of 69900 and 69912