What is the Greatest Common Factor of 86984 and 87001?

Greatest common factor (GCF) of 86984 and 87001 is 1.

GCF(86984,87001) = 1

We will now calculate the prime factors of 86984 and 87001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86984 and 87001.

How to find the GCF of 86984 and 87001?

We will first find the prime factorization of 86984 and 87001. After we will calculate the factors of 86984 and 87001 and find the biggest common factor number .

Step-1: Prime Factorization of 86984

Prime factors of 86984 are 2, 83, 131. Prime factorization of 86984 in exponential form is:

86984 = 2³ × 83¹ × 131¹

Step-2: Prime Factorization of 87001

Prime factors of 87001 are 19, 241. Prime factorization of 87001 in exponential form is:

87001 = 19² × 241¹

Step-3: Factors of 86984

List of positive integer factors of 86984 that divides 86984 without a remainder.

1, 2, 4, 8, 83, 131, 166, 262, 332, 524, 664, 1048, 10873, 21746, 43492

Step-4: Factors of 87001

List of positive integer factors of 87001 that divides 86984 without a remainder.

1, 19, 241, 361, 4579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86984 and 87001. The biggest common factor number is the GCF number.
So the greatest common factor 86984 and 87001 is 1.

Also check out the Least Common Multiple of 86984 and 87001