What is the Greatest Common Factor of 85712 and 85716?

Greatest common factor (GCF) of 85712 and 85716 is 4.

GCF(85712,85716) = 4

We will now calculate the prime factors of 85712 and 85716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85712 and 85716.

How to find the GCF of 85712 and 85716?

We will first find the prime factorization of 85712 and 85716. After we will calculate the factors of 85712 and 85716 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85716

Prime factors of 85716 are 2, 3, 2381. Prime factorization of 85716 in exponential form is:

85716 = 2² × 3² × 2381¹

Step-3: Factors of 85712

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

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

Step-4: Factors of 85716

List of positive integer factors of 85716 that divides 85712 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2381, 4762, 7143, 9524, 14286, 21429, 28572, 42858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85712 and 85716. The biggest common factor number is the GCF number.
So the greatest common factor 85712 and 85716 is 4.

Also check out the Least Common Multiple of 85712 and 85716