What is the Greatest Common Factor of 67800 and 67810?

Greatest common factor (GCF) of 67800 and 67810 is 10.

GCF(67800,67810) = 10

We will now calculate the prime factors of 67800 and 67810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67800 and 67810.

How to find the GCF of 67800 and 67810?

We will first find the prime factorization of 67800 and 67810. After we will calculate the factors of 67800 and 67810 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 67810

Prime factors of 67810 are 2, 5, 6781. Prime factorization of 67810 in exponential form is:

67810 = 2¹ × 5¹ × 6781¹

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 67810

List of positive integer factors of 67810 that divides 67800 without a remainder.

1, 2, 5, 10, 6781, 13562, 33905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67800 and 67810. The biggest common factor number is the GCF number.
So the greatest common factor 67800 and 67810 is 10.

Also check out the Least Common Multiple of 67800 and 67810