What is the Greatest Common Factor of 68900 and 68910?

Greatest common factor (GCF) of 68900 and 68910 is 10.

GCF(68900,68910) = 10

We will now calculate the prime factors of 68900 and 68910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68900 and 68910.

How to find the GCF of 68900 and 68910?

We will first find the prime factorization of 68900 and 68910. After we will calculate the factors of 68900 and 68910 and find the biggest common factor number .

Step-1: Prime Factorization of 68900

Prime factors of 68900 are 2, 5, 13, 53. Prime factorization of 68900 in exponential form is:

68900 = 2² × 5² × 13¹ × 53¹

Step-2: Prime Factorization of 68910

Prime factors of 68910 are 2, 3, 5, 2297. Prime factorization of 68910 in exponential form is:

68910 = 2¹ × 3¹ × 5¹ × 2297¹

Step-3: Factors of 68900

List of positive integer factors of 68900 that divides 68900 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 53, 65, 100, 106, 130, 212, 260, 265, 325, 530, 650, 689, 1060, 1300, 1325, 1378, 2650, 2756, 3445, 5300, 6890, 13780, 17225, 34450

Step-4: Factors of 68910

List of positive integer factors of 68910 that divides 68900 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2297, 4594, 6891, 11485, 13782, 22970, 34455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68900 and 68910. The biggest common factor number is the GCF number.
So the greatest common factor 68900 and 68910 is 10.

Also check out the Least Common Multiple of 68900 and 68910