What is the Greatest Common Factor of 86994 and 87009?

Greatest common factor (GCF) of 86994 and 87009 is 3.

GCF(86994,87009) = 3

We will now calculate the prime factors of 86994 and 87009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86994 and 87009.

How to find the GCF of 86994 and 87009?

We will first find the prime factorization of 86994 and 87009. After we will calculate the factors of 86994 and 87009 and find the biggest common factor number .

Step-1: Prime Factorization of 86994

Prime factors of 86994 are 2, 3, 179. Prime factorization of 86994 in exponential form is:

86994 = 2¹ × 3⁵ × 179¹

Step-2: Prime Factorization of 87009

Prime factors of 87009 are 3, 13, 23, 97. Prime factorization of 87009 in exponential form is:

87009 = 3¹ × 13¹ × 23¹ × 97¹

Step-3: Factors of 86994

List of positive integer factors of 86994 that divides 86994 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 179, 243, 358, 486, 537, 1074, 1611, 3222, 4833, 9666, 14499, 28998, 43497

Step-4: Factors of 87009

List of positive integer factors of 87009 that divides 86994 without a remainder.

1, 3, 13, 23, 39, 69, 97, 291, 299, 897, 1261, 2231, 3783, 6693, 29003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86994 and 87009. The biggest common factor number is the GCF number.
So the greatest common factor 86994 and 87009 is 3.

Also check out the Least Common Multiple of 86994 and 87009