What is the Greatest Common Factor of 85987 and 85998?

Greatest common factor (GCF) of 85987 and 85998 is 11.

GCF(85987,85998) = 11

We will now calculate the prime factors of 85987 and 85998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85987 and 85998.

How to find the GCF of 85987 and 85998?

We will first find the prime factorization of 85987 and 85998. After we will calculate the factors of 85987 and 85998 and find the biggest common factor number .

Step-1: Prime Factorization of 85987

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

85987 = 11¹ × 7817¹

Step-2: Prime Factorization of 85998

Prime factors of 85998 are 2, 3, 11, 1303. Prime factorization of 85998 in exponential form is:

85998 = 2¹ × 3¹ × 11¹ × 1303¹

Step-3: Factors of 85987

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

1, 11, 7817

Step-4: Factors of 85998

List of positive integer factors of 85998 that divides 85987 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1303, 2606, 3909, 7818, 14333, 28666, 42999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85987 and 85998. The biggest common factor number is the GCF number.
So the greatest common factor 85987 and 85998 is 11.

Also check out the Least Common Multiple of 85987 and 85998