What is the Greatest Common Factor of 83829 and 83846?

Greatest common factor (GCF) of 83829 and 83846 is 1.

GCF(83829,83846) = 1

We will now calculate the prime factors of 83829 and 83846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83829 and 83846.

How to find the GCF of 83829 and 83846?

We will first find the prime factorization of 83829 and 83846. After we will calculate the factors of 83829 and 83846 and find the biggest common factor number .

Step-1: Prime Factorization of 83829

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

83829 = 3¹ × 27943¹

Step-2: Prime Factorization of 83846

Prime factors of 83846 are 2, 7, 53, 113. Prime factorization of 83846 in exponential form is:

83846 = 2¹ × 7¹ × 53¹ × 113¹

Step-3: Factors of 83829

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

1, 3, 27943

Step-4: Factors of 83846

List of positive integer factors of 83846 that divides 83829 without a remainder.

1, 2, 7, 14, 53, 106, 113, 226, 371, 742, 791, 1582, 5989, 11978, 41923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83829 and 83846. The biggest common factor number is the GCF number.
So the greatest common factor 83829 and 83846 is 1.

Also check out the Least Common Multiple of 83829 and 83846