What is the Greatest Common Factor of 68800 and 68810?

Greatest common factor (GCF) of 68800 and 68810 is 10.

GCF(68800,68810) = 10

We will now calculate the prime factors of 68800 and 68810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68800 and 68810.

How to find the GCF of 68800 and 68810?

We will first find the prime factorization of 68800 and 68810. After we will calculate the factors of 68800 and 68810 and find the biggest common factor number .

Step-1: Prime Factorization of 68800

Prime factors of 68800 are 2, 5, 43. Prime factorization of 68800 in exponential form is:

68800 = 2⁶ × 5² × 43¹

Step-2: Prime Factorization of 68810

Prime factors of 68810 are 2, 5, 7, 983. Prime factorization of 68810 in exponential form is:

68810 = 2¹ × 5¹ × 7¹ × 983¹

Step-3: Factors of 68800

List of positive integer factors of 68800 that divides 68800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 43, 50, 64, 80, 86, 100, 160, 172, 200, 215, 320, 344, 400, 430, 688, 800, 860, 1075, 1376, 1600, 1720, 2150, 2752, 3440, 4300, 6880, 8600, 13760, 17200, 34400

Step-4: Factors of 68810

List of positive integer factors of 68810 that divides 68800 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 983, 1966, 4915, 6881, 9830, 13762, 34405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68800 and 68810. The biggest common factor number is the GCF number.
So the greatest common factor 68800 and 68810 is 10.

Also check out the Least Common Multiple of 68800 and 68810