What is the Greatest Common Factor of 8280 and 8300?

Greatest common factor (GCF) of 8280 and 8300 is 20.

GCF(8280,8300) = 20

We will now calculate the prime factors of 8280 and 8300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8280 and 8300.

How to find the GCF of 8280 and 8300?

We will first find the prime factorization of 8280 and 8300. After we will calculate the factors of 8280 and 8300 and find the biggest common factor number .

Step-1: Prime Factorization of 8280

Prime factors of 8280 are 2, 3, 5, 23. Prime factorization of 8280 in exponential form is:

8280 = 2³ × 3² × 5¹ × 23¹

Step-2: Prime Factorization of 8300

Prime factors of 8300 are 2, 5, 83. Prime factorization of 8300 in exponential form is:

8300 = 2² × 5² × 83¹

Step-3: Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140

Step-4: Factors of 8300

List of positive integer factors of 8300 that divides 8280 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8280 and 8300. The biggest common factor number is the GCF number.
So the greatest common factor 8280 and 8300 is 20.

Also check out the Least Common Multiple of 8280 and 8300