What is the Greatest Common Factor of 83830 and 83842?

Greatest common factor (GCF) of 83830 and 83842 is 2.

GCF(83830,83842) = 2

We will now calculate the prime factors of 83830 and 83842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83830 and 83842.

How to find the GCF of 83830 and 83842?

We will first find the prime factorization of 83830 and 83842. After we will calculate the factors of 83830 and 83842 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 83842

Prime factors of 83842 are 2, 11, 37, 103. Prime factorization of 83842 in exponential form is:

83842 = 2¹ × 11¹ × 37¹ × 103¹

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 83842

List of positive integer factors of 83842 that divides 83830 without a remainder.

1, 2, 11, 22, 37, 74, 103, 206, 407, 814, 1133, 2266, 3811, 7622, 41921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83830 and 83842. The biggest common factor number is the GCF number.
So the greatest common factor 83830 and 83842 is 2.

Also check out the Least Common Multiple of 83830 and 83842