What is the Greatest Common Factor of 83812 and 83830?

Greatest common factor (GCF) of 83812 and 83830 is 2.

GCF(83812,83830) = 2

We will now calculate the prime factors of 83812 and 83830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83812 and 83830.

How to find the GCF of 83812 and 83830?

We will first find the prime factorization of 83812 and 83830. After we will calculate the factors of 83812 and 83830 and find the biggest common factor number .

Step-1: Prime Factorization of 83812

Prime factors of 83812 are 2, 23, 911. Prime factorization of 83812 in exponential form is:

83812 = 2² × 23¹ × 911¹

Step-2: 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-3: Factors of 83812

List of positive integer factors of 83812 that divides 83812 without a remainder.

1, 2, 4, 23, 46, 92, 911, 1822, 3644, 20953, 41906

Step-4: Factors of 83830

List of positive integer factors of 83830 that divides 83812 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83812 and 83830. The biggest common factor number is the GCF number.
So the greatest common factor 83812 and 83830 is 2.

Also check out the Least Common Multiple of 83812 and 83830