What is the Greatest Common Factor of 86982 and 87001?

Greatest common factor (GCF) of 86982 and 87001 is 19.

GCF(86982,87001) = 19

We will now calculate the prime factors of 86982 and 87001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86982 and 87001.

How to find the GCF of 86982 and 87001?

We will first find the prime factorization of 86982 and 87001. After we will calculate the factors of 86982 and 87001 and find the biggest common factor number .

Step-1: Prime Factorization of 86982

Prime factors of 86982 are 2, 3, 7, 19, 109. Prime factorization of 86982 in exponential form is:

86982 = 2¹ × 3¹ × 7¹ × 19¹ × 109¹

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 86982

List of positive integer factors of 86982 that divides 86982 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 109, 114, 133, 218, 266, 327, 399, 654, 763, 798, 1526, 2071, 2289, 4142, 4578, 6213, 12426, 14497, 28994, 43491

Step-4: Factors of 87001

List of positive integer factors of 87001 that divides 86982 without a remainder.

1, 19, 241, 361, 4579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86982 and 87001. The biggest common factor number is the GCF number.
So the greatest common factor 86982 and 87001 is 19.

Also check out the Least Common Multiple of 86982 and 87001