What is the Greatest Common Factor of 80280 and 80292?

Greatest common factor (GCF) of 80280 and 80292 is 12.

GCF(80280,80292) = 12

We will now calculate the prime factors of 80280 and 80292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80280 and 80292.

How to find the GCF of 80280 and 80292?

We will first find the prime factorization of 80280 and 80292. After we will calculate the factors of 80280 and 80292 and find the biggest common factor number .

Step-1: Prime Factorization of 80280

Prime factors of 80280 are 2, 3, 5, 223. Prime factorization of 80280 in exponential form is:

80280 = 2³ × 3² × 5¹ × 223¹

Step-2: Prime Factorization of 80292

Prime factors of 80292 are 2, 3, 6691. Prime factorization of 80292 in exponential form is:

80292 = 2² × 3¹ × 6691¹

Step-3: Factors of 80280

List of positive integer factors of 80280 that divides 80280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 223, 360, 446, 669, 892, 1115, 1338, 1784, 2007, 2230, 2676, 3345, 4014, 4460, 5352, 6690, 8028, 8920, 10035, 13380, 16056, 20070, 26760, 40140

Step-4: Factors of 80292

List of positive integer factors of 80292 that divides 80280 without a remainder.

1, 2, 3, 4, 6, 12, 6691, 13382, 20073, 26764, 40146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80280 and 80292. The biggest common factor number is the GCF number.
So the greatest common factor 80280 and 80292 is 12.

Also check out the Least Common Multiple of 80280 and 80292