What is the Greatest Common Factor of 87280 and 87300?

Greatest common factor (GCF) of 87280 and 87300 is 20.

GCF(87280,87300) = 20

We will now calculate the prime factors of 87280 and 87300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87280 and 87300.

How to find the GCF of 87280 and 87300?

We will first find the prime factorization of 87280 and 87300. After we will calculate the factors of 87280 and 87300 and find the biggest common factor number .

Step-1: Prime Factorization of 87280

Prime factors of 87280 are 2, 5, 1091. Prime factorization of 87280 in exponential form is:

87280 = 2⁴ × 5¹ × 1091¹

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 87280

List of positive integer factors of 87280 that divides 87280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1091, 2182, 4364, 5455, 8728, 10910, 17456, 21820, 43640

Step-4: Factors of 87300

List of positive integer factors of 87300 that divides 87280 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 87280 and 87300. The biggest common factor number is the GCF number.
So the greatest common factor 87280 and 87300 is 20.

Also check out the Least Common Multiple of 87280 and 87300