What is the Greatest Common Factor of 68768 and 68782?

Greatest common factor (GCF) of 68768 and 68782 is 14.

GCF(68768,68782) = 14

We will now calculate the prime factors of 68768 and 68782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68768 and 68782.

How to find the GCF of 68768 and 68782?

We will first find the prime factorization of 68768 and 68782. After we will calculate the factors of 68768 and 68782 and find the biggest common factor number .

Step-1: Prime Factorization of 68768

Prime factors of 68768 are 2, 7, 307. Prime factorization of 68768 in exponential form is:

68768 = 2⁵ × 7¹ × 307¹

Step-2: Prime Factorization of 68782

Prime factors of 68782 are 2, 7, 17. Prime factorization of 68782 in exponential form is:

68782 = 2¹ × 7¹ × 17³

Step-3: Factors of 68768

List of positive integer factors of 68768 that divides 68768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 307, 614, 1228, 2149, 2456, 4298, 4912, 8596, 9824, 17192, 34384

Step-4: Factors of 68782

List of positive integer factors of 68782 that divides 68768 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046, 4913, 9826, 34391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68768 and 68782. The biggest common factor number is the GCF number.
So the greatest common factor 68768 and 68782 is 14.

Also check out the Least Common Multiple of 68768 and 68782