What is the Greatest Common Factor of 68893 and 68900?

Greatest common factor (GCF) of 68893 and 68900 is 1.

GCF(68893,68900) = 1

We will now calculate the prime factors of 68893 and 68900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68893 and 68900.

How to find the GCF of 68893 and 68900?

We will first find the prime factorization of 68893 and 68900. After we will calculate the factors of 68893 and 68900 and find the biggest common factor number .

Step-1: Prime Factorization of 68893

Prime factors of 68893 are 11, 6263. Prime factorization of 68893 in exponential form is:

68893 = 11¹ × 6263¹

Step-2: 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-3: Factors of 68893

List of positive integer factors of 68893 that divides 68893 without a remainder.

1, 11, 6263

Step-4: Factors of 68900

List of positive integer factors of 68900 that divides 68893 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68893 and 68900. The biggest common factor number is the GCF number.
So the greatest common factor 68893 and 68900 is 1.

Also check out the Least Common Multiple of 68893 and 68900