What is the Greatest Common Factor of 87300 and 87308?

Greatest common factor (GCF) of 87300 and 87308 is 4.

GCF(87300,87308) = 4

We will now calculate the prime factors of 87300 and 87308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87300 and 87308.

How to find the GCF of 87300 and 87308?

We will first find the prime factorization of 87300 and 87308. After we will calculate the factors of 87300 and 87308 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 87308

Prime factors of 87308 are 2, 13, 23, 73. Prime factorization of 87308 in exponential form is:

87308 = 2² × 13¹ × 23¹ × 73¹

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 87308

List of positive integer factors of 87308 that divides 87300 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 73, 92, 146, 292, 299, 598, 949, 1196, 1679, 1898, 3358, 3796, 6716, 21827, 43654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87300 and 87308. The biggest common factor number is the GCF number.
So the greatest common factor 87300 and 87308 is 4.

Also check out the Least Common Multiple of 87300 and 87308