What is the Greatest Common Factor of 85666 and 85672?

Greatest common factor (GCF) of 85666 and 85672 is 2.

GCF(85666,85672) = 2

We will now calculate the prime factors of 85666 and 85672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85666 and 85672.

How to find the GCF of 85666 and 85672?

We will first find the prime factorization of 85666 and 85672. After we will calculate the factors of 85666 and 85672 and find the biggest common factor number .

Step-1: Prime Factorization of 85666

Prime factors of 85666 are 2, 7, 29, 211. Prime factorization of 85666 in exponential form is:

85666 = 2¹ × 7¹ × 29¹ × 211¹

Step-2: Prime Factorization of 85672

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

85672 = 2³ × 10709¹

Step-3: Factors of 85666

List of positive integer factors of 85666 that divides 85666 without a remainder.

1, 2, 7, 14, 29, 58, 203, 211, 406, 422, 1477, 2954, 6119, 12238, 42833

Step-4: Factors of 85672

List of positive integer factors of 85672 that divides 85666 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85666 and 85672. The biggest common factor number is the GCF number.
So the greatest common factor 85666 and 85672 is 2.

Also check out the Least Common Multiple of 85666 and 85672