What is the Greatest Common Factor of 83844 and 83856?

Greatest common factor (GCF) of 83844 and 83856 is 12.

GCF(83844,83856) = 12

We will now calculate the prime factors of 83844 and 83856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83844 and 83856.

How to find the GCF of 83844 and 83856?

We will first find the prime factorization of 83844 and 83856. After we will calculate the factors of 83844 and 83856 and find the biggest common factor number .

Step-1: Prime Factorization of 83844

Prime factors of 83844 are 2, 3, 17, 137. Prime factorization of 83844 in exponential form is:

83844 = 2² × 3² × 17¹ × 137¹

Step-2: Prime Factorization of 83856

Prime factors of 83856 are 2, 3, 1747. Prime factorization of 83856 in exponential form is:

83856 = 2⁴ × 3¹ × 1747¹

Step-3: Factors of 83844

List of positive integer factors of 83844 that divides 83844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 137, 153, 204, 274, 306, 411, 548, 612, 822, 1233, 1644, 2329, 2466, 4658, 4932, 6987, 9316, 13974, 20961, 27948, 41922

Step-4: Factors of 83856

List of positive integer factors of 83856 that divides 83844 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1747, 3494, 5241, 6988, 10482, 13976, 20964, 27952, 41928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83844 and 83856. The biggest common factor number is the GCF number.
So the greatest common factor 83844 and 83856 is 12.

Also check out the Least Common Multiple of 83844 and 83856