What is the Greatest Common Factor of 68593 and 68607?

Greatest common factor (GCF) of 68593 and 68607 is 7.

GCF(68593,68607) = 7

We will now calculate the prime factors of 68593 and 68607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68593 and 68607.

How to find the GCF of 68593 and 68607?

We will first find the prime factorization of 68593 and 68607. After we will calculate the factors of 68593 and 68607 and find the biggest common factor number .

Step-1: Prime Factorization of 68593

Prime factors of 68593 are 7, 41, 239. Prime factorization of 68593 in exponential form is:

68593 = 7¹ × 41¹ × 239¹

Step-2: Prime Factorization of 68607

Prime factors of 68607 are 3, 7, 11. Prime factorization of 68607 in exponential form is:

68607 = 3⁴ × 7¹ × 11²

Step-3: Factors of 68593

List of positive integer factors of 68593 that divides 68593 without a remainder.

1, 7, 41, 239, 287, 1673, 9799

Step-4: Factors of 68607

List of positive integer factors of 68607 that divides 68593 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 121, 189, 231, 297, 363, 567, 693, 847, 891, 1089, 2079, 2541, 3267, 6237, 7623, 9801, 22869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68593 and 68607. The biggest common factor number is the GCF number.
So the greatest common factor 68593 and 68607 is 7.

Also check out the Least Common Multiple of 68593 and 68607