What is the Greatest Common Factor of 85964 and 85978?

Greatest common factor (GCF) of 85964 and 85978 is 2.

GCF(85964,85978) = 2

We will now calculate the prime factors of 85964 and 85978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85964 and 85978.

How to find the GCF of 85964 and 85978?

We will first find the prime factorization of 85964 and 85978. After we will calculate the factors of 85964 and 85978 and find the biggest common factor number .

Step-1: Prime Factorization of 85964

Prime factors of 85964 are 2, 21491. Prime factorization of 85964 in exponential form is:

85964 = 2² × 21491¹

Step-2: Prime Factorization of 85978

Prime factors of 85978 are 2, 42989. Prime factorization of 85978 in exponential form is:

85978 = 2¹ × 42989¹

Step-3: Factors of 85964

List of positive integer factors of 85964 that divides 85964 without a remainder.

1, 2, 4, 21491, 42982

Step-4: Factors of 85978

List of positive integer factors of 85978 that divides 85964 without a remainder.

1, 2, 42989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85964 and 85978. The biggest common factor number is the GCF number.
So the greatest common factor 85964 and 85978 is 2.

Also check out the Least Common Multiple of 85964 and 85978