What is the Greatest Common Factor of 8280 and 8292?

Greatest common factor (GCF) of 8280 and 8292 is 12.

GCF(8280,8292) = 12

We will now calculate the prime factors of 8280 and 8292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8280 and 8292.

How to find the GCF of 8280 and 8292?

We will first find the prime factorization of 8280 and 8292. After we will calculate the factors of 8280 and 8292 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 8292

Prime factors of 8292 are 2, 3, 691. Prime factorization of 8292 in exponential form is:

8292 = 2² × 3¹ × 691¹

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 8292

List of positive integer factors of 8292 that divides 8280 without a remainder.

1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8280 and 8292. The biggest common factor number is the GCF number.
So the greatest common factor 8280 and 8292 is 12.

Also check out the Least Common Multiple of 8280 and 8292