What is the Greatest Common Factor of 87295 and 87300?

Greatest common factor (GCF) of 87295 and 87300 is 5.

GCF(87295,87300) = 5

We will now calculate the prime factors of 87295 and 87300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87295 and 87300.

How to find the GCF of 87295 and 87300?

We will first find the prime factorization of 87295 and 87300. After we will calculate the factors of 87295 and 87300 and find the biggest common factor number .

Step-1: Prime Factorization of 87295

Prime factors of 87295 are 5, 13, 17, 79. Prime factorization of 87295 in exponential form is:

87295 = 5¹ × 13¹ × 17¹ × 79¹

Step-2: 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-3: Factors of 87295

List of positive integer factors of 87295 that divides 87295 without a remainder.

1, 5, 13, 17, 65, 79, 85, 221, 395, 1027, 1105, 1343, 5135, 6715, 17459

Step-4: Factors of 87300

List of positive integer factors of 87300 that divides 87295 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87295 and 87300. The biggest common factor number is the GCF number.
So the greatest common factor 87295 and 87300 is 5.

Also check out the Least Common Multiple of 87295 and 87300