What is the Greatest Common Factor of 83824 and 83829?

Greatest common factor (GCF) of 83824 and 83829 is 1.

GCF(83824,83829) = 1

We will now calculate the prime factors of 83824 and 83829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83824 and 83829.

How to find the GCF of 83824 and 83829?

We will first find the prime factorization of 83824 and 83829. After we will calculate the factors of 83824 and 83829 and find the biggest common factor number .

Step-1: Prime Factorization of 83824

Prime factors of 83824 are 2, 13, 31. Prime factorization of 83824 in exponential form is:

83824 = 2⁴ × 13² × 31¹

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 83824

List of positive integer factors of 83824 that divides 83824 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 169, 208, 248, 338, 403, 496, 676, 806, 1352, 1612, 2704, 3224, 5239, 6448, 10478, 20956, 41912

Step-4: Factors of 83829

List of positive integer factors of 83829 that divides 83824 without a remainder.

1, 3, 27943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83824 and 83829. The biggest common factor number is the GCF number.
So the greatest common factor 83824 and 83829 is 1.

Also check out the Least Common Multiple of 83824 and 83829