What is the Greatest Common Factor of 87300 and 87309?

Greatest common factor (GCF) of 87300 and 87309 is 9.

GCF(87300,87309) = 9

We will now calculate the prime factors of 87300 and 87309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87300 and 87309.

How to find the GCF of 87300 and 87309?

We will first find the prime factorization of 87300 and 87309. After we will calculate the factors of 87300 and 87309 and find the biggest common factor number .

Step-1: Prime Factorization of 87300

Prime factors of 87300 are 2, 3, 5, 97. Prime factorization of 87300 in exponential form is:

87300 = 2² × 3² × 5² × 97¹

Step-2: Prime Factorization of 87309

Prime factors of 87309 are 3, 89, 109. Prime factorization of 87309 in exponential form is:

87309 = 3² × 89¹ × 109¹

Step-3: Factors of 87300

List of positive integer factors of 87300 that divides 87300 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 97, 100, 150, 180, 194, 225, 291, 300, 388, 450, 485, 582, 873, 900, 970, 1164, 1455, 1746, 1940, 2425, 2910, 3492, 4365, 4850, 5820, 7275, 8730, 9700, 14550, 17460, 21825, 29100, 43650

Step-4: Factors of 87309

List of positive integer factors of 87309 that divides 87300 without a remainder.

1, 3, 9, 89, 109, 267, 327, 801, 981, 9701, 29103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87300 and 87309. The biggest common factor number is the GCF number.
So the greatest common factor 87300 and 87309 is 9.

Also check out the Least Common Multiple of 87300 and 87309