What is the Greatest Common Factor of 85971 and 85987?

Greatest common factor (GCF) of 85971 and 85987 is 1.

GCF(85971,85987) = 1

We will now calculate the prime factors of 85971 and 85987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85971 and 85987.

How to find the GCF of 85971 and 85987?

We will first find the prime factorization of 85971 and 85987. After we will calculate the factors of 85971 and 85987 and find the biggest common factor number .

Step-1: Prime Factorization of 85971

Prime factors of 85971 are 3, 28657. Prime factorization of 85971 in exponential form is:

85971 = 3¹ × 28657¹

Step-2: Prime Factorization of 85987

Prime factors of 85987 are 11, 7817. Prime factorization of 85987 in exponential form is:

85987 = 11¹ × 7817¹

Step-3: Factors of 85971

List of positive integer factors of 85971 that divides 85971 without a remainder.

1, 3, 28657

Step-4: Factors of 85987

List of positive integer factors of 85987 that divides 85971 without a remainder.

1, 11, 7817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85971 and 85987. The biggest common factor number is the GCF number.
So the greatest common factor 85971 and 85987 is 1.

Also check out the Least Common Multiple of 85971 and 85987