What is the Greatest Common Factor of 85684 and 85698?

Greatest common factor (GCF) of 85684 and 85698 is 2.

GCF(85684,85698) = 2

We will now calculate the prime factors of 85684 and 85698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85684 and 85698.

How to find the GCF of 85684 and 85698?

We will first find the prime factorization of 85684 and 85698. After we will calculate the factors of 85684 and 85698 and find the biggest common factor number .

Step-1: Prime Factorization of 85684

Prime factors of 85684 are 2, 31, 691. Prime factorization of 85684 in exponential form is:

85684 = 2² × 31¹ × 691¹

Step-2: Prime Factorization of 85698

Prime factors of 85698 are 2, 3, 23. Prime factorization of 85698 in exponential form is:

85698 = 2¹ × 3⁴ × 23²

Step-3: Factors of 85684

List of positive integer factors of 85684 that divides 85684 without a remainder.

1, 2, 4, 31, 62, 124, 691, 1382, 2764, 21421, 42842

Step-4: Factors of 85698

List of positive integer factors of 85698 that divides 85684 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 529, 621, 1058, 1242, 1587, 1863, 3174, 3726, 4761, 9522, 14283, 28566, 42849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85684 and 85698. The biggest common factor number is the GCF number.
So the greatest common factor 85684 and 85698 is 2.

Also check out the Least Common Multiple of 85684 and 85698