What is the Greatest Common Factor of 67800 and 67804?

Greatest common factor (GCF) of 67800 and 67804 is 4.

GCF(67800,67804) = 4

We will now calculate the prime factors of 67800 and 67804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67800 and 67804.

How to find the GCF of 67800 and 67804?

We will first find the prime factorization of 67800 and 67804. After we will calculate the factors of 67800 and 67804 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 67804

Prime factors of 67804 are 2, 11, 23, 67. Prime factorization of 67804 in exponential form is:

67804 = 2² × 11¹ × 23¹ × 67¹

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 67804

List of positive integer factors of 67804 that divides 67800 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 67, 92, 134, 253, 268, 506, 737, 1012, 1474, 1541, 2948, 3082, 6164, 16951, 33902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67800 and 67804. The biggest common factor number is the GCF number.
So the greatest common factor 67800 and 67804 is 4.

Also check out the Least Common Multiple of 67800 and 67804