What is the Greatest Common Factor of 83830 and 83844?

Greatest common factor (GCF) of 83830 and 83844 is 2.

GCF(83830,83844) = 2

We will now calculate the prime factors of 83830 and 83844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83830 and 83844.

How to find the GCF of 83830 and 83844?

We will first find the prime factorization of 83830 and 83844. After we will calculate the factors of 83830 and 83844 and find the biggest common factor number .

Step-1: Prime Factorization of 83830

Prime factors of 83830 are 2, 5, 83, 101. Prime factorization of 83830 in exponential form is:

83830 = 2¹ × 5¹ × 83¹ × 101¹

Step-2: 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-3: Factors of 83830

List of positive integer factors of 83830 that divides 83830 without a remainder.

1, 2, 5, 10, 83, 101, 166, 202, 415, 505, 830, 1010, 8383, 16766, 41915

Step-4: Factors of 83844

List of positive integer factors of 83844 that divides 83830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83830 and 83844. The biggest common factor number is the GCF number.
So the greatest common factor 83830 and 83844 is 2.

Also check out the Least Common Multiple of 83830 and 83844