What is the Greatest Common Factor of 83844 and 83862?

Greatest common factor (GCF) of 83844 and 83862 is 18.

GCF(83844,83862) = 18

We will now calculate the prime factors of 83844 and 83862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83844 and 83862.

How to find the GCF of 83844 and 83862?

We will first find the prime factorization of 83844 and 83862. After we will calculate the factors of 83844 and 83862 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 83862

Prime factors of 83862 are 2, 3, 1553. Prime factorization of 83862 in exponential form is:

83862 = 2¹ × 3³ × 1553¹

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 83862

List of positive integer factors of 83862 that divides 83844 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1553, 3106, 4659, 9318, 13977, 27954, 41931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83844 and 83862. The biggest common factor number is the GCF number.
So the greatest common factor 83844 and 83862 is 18.

Also check out the Least Common Multiple of 83844 and 83862