What is the Greatest Common Factor of 85696 and 85709?

Greatest common factor (GCF) of 85696 and 85709 is 13.

GCF(85696,85709) = 13

We will now calculate the prime factors of 85696 and 85709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85696 and 85709.

How to find the GCF of 85696 and 85709?

We will first find the prime factorization of 85696 and 85709. After we will calculate the factors of 85696 and 85709 and find the biggest common factor number .

Step-1: Prime Factorization of 85696

Prime factors of 85696 are 2, 13, 103. Prime factorization of 85696 in exponential form is:

85696 = 2⁶ × 13¹ × 103¹

Step-2: Prime Factorization of 85709

Prime factors of 85709 are 13, 19, 347. Prime factorization of 85709 in exponential form is:

85709 = 13¹ × 19¹ × 347¹

Step-3: Factors of 85696

List of positive integer factors of 85696 that divides 85696 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 103, 104, 206, 208, 412, 416, 824, 832, 1339, 1648, 2678, 3296, 5356, 6592, 10712, 21424, 42848

Step-4: Factors of 85709

List of positive integer factors of 85709 that divides 85696 without a remainder.

1, 13, 19, 247, 347, 4511, 6593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85696 and 85709. The biggest common factor number is the GCF number.
So the greatest common factor 85696 and 85709 is 13.

Also check out the Least Common Multiple of 85696 and 85709