What is the Greatest Common Factor of 68900 and 68918?

Greatest common factor (GCF) of 68900 and 68918 is 2.

GCF(68900,68918) = 2

We will now calculate the prime factors of 68900 and 68918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68900 and 68918.

How to find the GCF of 68900 and 68918?

We will first find the prime factorization of 68900 and 68918. After we will calculate the factors of 68900 and 68918 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 68918

Prime factors of 68918 are 2, 17, 2027. Prime factorization of 68918 in exponential form is:

68918 = 2¹ × 17¹ × 2027¹

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 68918

List of positive integer factors of 68918 that divides 68900 without a remainder.

1, 2, 17, 34, 2027, 4054, 34459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68900 and 68918. The biggest common factor number is the GCF number.
So the greatest common factor 68900 and 68918 is 2.

Also check out the Least Common Multiple of 68900 and 68918