What is the Greatest Common Factor of 67800 and 67812?

Greatest common factor (GCF) of 67800 and 67812 is 12.

GCF(67800,67812) = 12

We will now calculate the prime factors of 67800 and 67812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67800 and 67812.

How to find the GCF of 67800 and 67812?

We will first find the prime factorization of 67800 and 67812. After we will calculate the factors of 67800 and 67812 and find the biggest common factor number .

Step-1: Prime Factorization of 67800

Prime factors of 67800 are 2, 3, 5, 113. Prime factorization of 67800 in exponential form is:

67800 = 2³ × 3¹ × 5² × 113¹

Step-2: Prime Factorization of 67812

Prime factors of 67812 are 2, 3, 5651. Prime factorization of 67812 in exponential form is:

67812 = 2² × 3¹ × 5651¹

Step-3: Factors of 67800

List of positive integer factors of 67800 that divides 67800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 113, 120, 150, 200, 226, 300, 339, 452, 565, 600, 678, 904, 1130, 1356, 1695, 2260, 2712, 2825, 3390, 4520, 5650, 6780, 8475, 11300, 13560, 16950, 22600, 33900

Step-4: Factors of 67812

List of positive integer factors of 67812 that divides 67800 without a remainder.

1, 2, 3, 4, 6, 12, 5651, 11302, 16953, 22604, 33906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67800 and 67812. The biggest common factor number is the GCF number.
So the greatest common factor 67800 and 67812 is 12.

Also check out the Least Common Multiple of 67800 and 67812