What is the Greatest Common Factor of 85994 and 86012?

Greatest common factor (GCF) of 85994 and 86012 is 2.

GCF(85994,86012) = 2

We will now calculate the prime factors of 85994 and 86012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85994 and 86012.

How to find the GCF of 85994 and 86012?

We will first find the prime factorization of 85994 and 86012. After we will calculate the factors of 85994 and 86012 and find the biggest common factor number .

Step-1: Prime Factorization of 85994

Prime factors of 85994 are 2, 19, 31, 73. Prime factorization of 85994 in exponential form is:

85994 = 2¹ × 19¹ × 31¹ × 73¹

Step-2: Prime Factorization of 86012

Prime factors of 86012 are 2, 21503. Prime factorization of 86012 in exponential form is:

86012 = 2² × 21503¹

Step-3: Factors of 85994

List of positive integer factors of 85994 that divides 85994 without a remainder.

1, 2, 19, 31, 38, 62, 73, 146, 589, 1178, 1387, 2263, 2774, 4526, 42997

Step-4: Factors of 86012

List of positive integer factors of 86012 that divides 85994 without a remainder.

1, 2, 4, 21503, 43006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85994 and 86012. The biggest common factor number is the GCF number.
So the greatest common factor 85994 and 86012 is 2.

Also check out the Least Common Multiple of 85994 and 86012