What is the Greatest Common Factor of 83292 and 83296?

Greatest common factor (GCF) of 83292 and 83296 is 4.

GCF(83292,83296) = 4

We will now calculate the prime factors of 83292 and 83296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83292 and 83296.

How to find the GCF of 83292 and 83296?

We will first find the prime factorization of 83292 and 83296. After we will calculate the factors of 83292 and 83296 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83296

Prime factors of 83296 are 2, 19, 137. Prime factorization of 83296 in exponential form is:

83296 = 2⁵ × 19¹ × 137¹

Step-3: Factors of 83292

List of positive integer factors of 83292 that divides 83292 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

Step-4: Factors of 83296

List of positive integer factors of 83296 that divides 83292 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 137, 152, 274, 304, 548, 608, 1096, 2192, 2603, 4384, 5206, 10412, 20824, 41648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83292 and 83296. The biggest common factor number is the GCF number.
So the greatest common factor 83292 and 83296 is 4.

Also check out the Least Common Multiple of 83292 and 83296