What is the Greatest Common Factor of 85672 and 85686?

Greatest common factor (GCF) of 85672 and 85686 is 2.

GCF(85672,85686) = 2

We will now calculate the prime factors of 85672 and 85686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85672 and 85686.

How to find the GCF of 85672 and 85686?

We will first find the prime factorization of 85672 and 85686. After we will calculate the factors of 85672 and 85686 and find the biggest common factor number .

Step-1: Prime Factorization of 85672

Prime factors of 85672 are 2, 10709. Prime factorization of 85672 in exponential form is:

85672 = 2³ × 10709¹

Step-2: Prime Factorization of 85686

Prime factors of 85686 are 2, 3, 14281. Prime factorization of 85686 in exponential form is:

85686 = 2¹ × 3¹ × 14281¹

Step-3: Factors of 85672

List of positive integer factors of 85672 that divides 85672 without a remainder.

1, 2, 4, 8, 10709, 21418, 42836

Step-4: Factors of 85686

List of positive integer factors of 85686 that divides 85672 without a remainder.

1, 2, 3, 6, 14281, 28562, 42843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85672 and 85686. The biggest common factor number is the GCF number.
So the greatest common factor 85672 and 85686 is 2.

Also check out the Least Common Multiple of 85672 and 85686