What is the Greatest Common Factor of 68900 and 68916?

Greatest common factor (GCF) of 68900 and 68916 is 4.

GCF(68900,68916) = 4

We will now calculate the prime factors of 68900 and 68916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68900 and 68916.

How to find the GCF of 68900 and 68916?

We will first find the prime factorization of 68900 and 68916. After we will calculate the factors of 68900 and 68916 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 68916

Prime factors of 68916 are 2, 3, 5743. Prime factorization of 68916 in exponential form is:

68916 = 2² × 3¹ × 5743¹

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 68916

List of positive integer factors of 68916 that divides 68900 without a remainder.

1, 2, 3, 4, 6, 12, 5743, 11486, 17229, 22972, 34458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68900 and 68916. The biggest common factor number is the GCF number.
So the greatest common factor 68900 and 68916 is 4.

Also check out the Least Common Multiple of 68900 and 68916