What is the Greatest Common Factor of 85696 and 85712?

Greatest common factor (GCF) of 85696 and 85712 is 16.

GCF(85696,85712) = 16

We will now calculate the prime factors of 85696 and 85712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85696 and 85712.

How to find the GCF of 85696 and 85712?

We will first find the prime factorization of 85696 and 85712. After we will calculate the factors of 85696 and 85712 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 85712

Prime factors of 85712 are 2, 11, 487. Prime factorization of 85712 in exponential form is:

85712 = 2⁴ × 11¹ × 487¹

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 85712

List of positive integer factors of 85712 that divides 85696 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 487, 974, 1948, 3896, 5357, 7792, 10714, 21428, 42856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85696 and 85712. The biggest common factor number is the GCF number.
So the greatest common factor 85696 and 85712 is 16.

Also check out the Least Common Multiple of 85696 and 85712