What is the Greatest Common Factor of 83280 and 83292?

Greatest common factor (GCF) of 83280 and 83292 is 12.

GCF(83280,83292) = 12

We will now calculate the prime factors of 83280 and 83292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83280 and 83292.

How to find the GCF of 83280 and 83292?

We will first find the prime factorization of 83280 and 83292. After we will calculate the factors of 83280 and 83292 and find the biggest common factor number .

Step-1: Prime Factorization of 83280

Prime factors of 83280 are 2, 3, 5, 347. Prime factorization of 83280 in exponential form is:

83280 = 2⁴ × 3¹ × 5¹ × 347¹

Step-2: Prime Factorization of 83292

Prime factors of 83292 are 2, 3, 11, 631. Prime factorization of 83292 in exponential form is:

83292 = 2² × 3¹ × 11¹ × 631¹

Step-3: Factors of 83280

List of positive integer factors of 83280 that divides 83280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 347, 694, 1041, 1388, 1735, 2082, 2776, 3470, 4164, 5205, 5552, 6940, 8328, 10410, 13880, 16656, 20820, 27760, 41640

Step-4: Factors of 83292

List of positive integer factors of 83292 that divides 83280 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 631, 1262, 1893, 2524, 3786, 6941, 7572, 13882, 20823, 27764, 41646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83280 and 83292. The biggest common factor number is the GCF number.
So the greatest common factor 83280 and 83292 is 12.

Also check out the Least Common Multiple of 83280 and 83292