What is the Greatest Common Factor of 68585 and 68596?

Greatest common factor (GCF) of 68585 and 68596 is 11.

GCF(68585,68596) = 11

We will now calculate the prime factors of 68585 and 68596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68585 and 68596.

How to find the GCF of 68585 and 68596?

We will first find the prime factorization of 68585 and 68596. After we will calculate the factors of 68585 and 68596 and find the biggest common factor number .

Step-1: Prime Factorization of 68585

Prime factors of 68585 are 5, 11, 29, 43. Prime factorization of 68585 in exponential form is:

68585 = 5¹ × 11¹ × 29¹ × 43¹

Step-2: Prime Factorization of 68596

Prime factors of 68596 are 2, 11, 1559. Prime factorization of 68596 in exponential form is:

68596 = 2² × 11¹ × 1559¹

Step-3: Factors of 68585

List of positive integer factors of 68585 that divides 68585 without a remainder.

1, 5, 11, 29, 43, 55, 145, 215, 319, 473, 1247, 1595, 2365, 6235, 13717

Step-4: Factors of 68596

List of positive integer factors of 68596 that divides 68585 without a remainder.

1, 2, 4, 11, 22, 44, 1559, 3118, 6236, 17149, 34298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68585 and 68596. The biggest common factor number is the GCF number.
So the greatest common factor 68585 and 68596 is 11.

Also check out the Least Common Multiple of 68585 and 68596