What is the Greatest Common Factor of 83820 and 83829?

Greatest common factor (GCF) of 83820 and 83829 is 3.

GCF(83820,83829) = 3

We will now calculate the prime factors of 83820 and 83829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83820 and 83829.

How to find the GCF of 83820 and 83829?

We will first find the prime factorization of 83820 and 83829. After we will calculate the factors of 83820 and 83829 and find the biggest common factor number .

Step-1: Prime Factorization of 83820

Prime factors of 83820 are 2, 3, 5, 11, 127. Prime factorization of 83820 in exponential form is:

83820 = 2² × 3¹ × 5¹ × 11¹ × 127¹

Step-2: Prime Factorization of 83829

Prime factors of 83829 are 3, 27943. Prime factorization of 83829 in exponential form is:

83829 = 3¹ × 27943¹

Step-3: Factors of 83820

List of positive integer factors of 83820 that divides 83820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 127, 132, 165, 220, 254, 330, 381, 508, 635, 660, 762, 1270, 1397, 1524, 1905, 2540, 2794, 3810, 4191, 5588, 6985, 7620, 8382, 13970, 16764, 20955, 27940, 41910

Step-4: Factors of 83829

List of positive integer factors of 83829 that divides 83820 without a remainder.

1, 3, 27943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83820 and 83829. The biggest common factor number is the GCF number.
So the greatest common factor 83820 and 83829 is 3.

Also check out the Least Common Multiple of 83820 and 83829