What is the Greatest Common Factor of 85977 and 85984?

Greatest common factor (GCF) of 85977 and 85984 is 1.

GCF(85977,85984) = 1

We will now calculate the prime factors of 85977 and 85984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85977 and 85984.

How to find the GCF of 85977 and 85984?

We will first find the prime factorization of 85977 and 85984. After we will calculate the factors of 85977 and 85984 and find the biggest common factor number .

Step-1: Prime Factorization of 85977

Prime factors of 85977 are 3, 41, 233. Prime factorization of 85977 in exponential form is:

85977 = 3² × 41¹ × 233¹

Step-2: Prime Factorization of 85984

Prime factors of 85984 are 2, 2687. Prime factorization of 85984 in exponential form is:

85984 = 2⁵ × 2687¹

Step-3: Factors of 85977

List of positive integer factors of 85977 that divides 85977 without a remainder.

1, 3, 9, 41, 123, 233, 369, 699, 2097, 9553, 28659

Step-4: Factors of 85984

List of positive integer factors of 85984 that divides 85977 without a remainder.

1, 2, 4, 8, 16, 32, 2687, 5374, 10748, 21496, 42992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85977 and 85984. The biggest common factor number is the GCF number.
So the greatest common factor 85977 and 85984 is 1.

Also check out the Least Common Multiple of 85977 and 85984