What is the Greatest Common Factor of 85966 and 85976?

Greatest common factor (GCF) of 85966 and 85976 is 2.

GCF(85966,85976) = 2

We will now calculate the prime factors of 85966 and 85976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85966 and 85976.

How to find the GCF of 85966 and 85976?

We will first find the prime factorization of 85966 and 85976. After we will calculate the factors of 85966 and 85976 and find the biggest common factor number .

Step-1: Prime Factorization of 85966

Prime factors of 85966 are 2, 53, 811. Prime factorization of 85966 in exponential form is:

85966 = 2¹ × 53¹ × 811¹

Step-2: Prime Factorization of 85976

Prime factors of 85976 are 2, 11, 977. Prime factorization of 85976 in exponential form is:

85976 = 2³ × 11¹ × 977¹

Step-3: Factors of 85966

List of positive integer factors of 85966 that divides 85966 without a remainder.

1, 2, 53, 106, 811, 1622, 42983

Step-4: Factors of 85976

List of positive integer factors of 85976 that divides 85966 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 977, 1954, 3908, 7816, 10747, 21494, 42988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85966 and 85976. The biggest common factor number is the GCF number.
So the greatest common factor 85966 and 85976 is 2.

Also check out the Least Common Multiple of 85966 and 85976