What is the Greatest Common Factor of 67789 and 67800?

Greatest common factor (GCF) of 67789 and 67800 is 1.

GCF(67789,67800) = 1

We will now calculate the prime factors of 67789 and 67800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67789 and 67800.

How to find the GCF of 67789 and 67800?

We will first find the prime factorization of 67789 and 67800. After we will calculate the factors of 67789 and 67800 and find the biggest common factor number .

Step-1: Prime Factorization of 67789

Prime factors of 67789 are 67789. Prime factorization of 67789 in exponential form is:

67789 = 67789¹

Step-2: 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-3: Factors of 67789

List of positive integer factors of 67789 that divides 67789 without a remainder.

Step-4: Factors of 67800

List of positive integer factors of 67800 that divides 67789 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67789 and 67800. The biggest common factor number is the GCF number.
So the greatest common factor 67789 and 67800 is 1.

Also check out the Least Common Multiple of 67789 and 67800