What is the Greatest Common Factor of 83826 and 83846?

Greatest common factor (GCF) of 83826 and 83846 is 2.

GCF(83826,83846) = 2

We will now calculate the prime factors of 83826 and 83846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83826 and 83846.

How to find the GCF of 83826 and 83846?

We will first find the prime factorization of 83826 and 83846. After we will calculate the factors of 83826 and 83846 and find the biggest common factor number .

Step-1: Prime Factorization of 83826

Prime factors of 83826 are 2, 3, 4657. Prime factorization of 83826 in exponential form is:

83826 = 2¹ × 3² × 4657¹

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 83826

List of positive integer factors of 83826 that divides 83826 without a remainder.

1, 2, 3, 6, 9, 18, 4657, 9314, 13971, 27942, 41913

Step-4: Factors of 83846

List of positive integer factors of 83846 that divides 83826 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 83826 and 83846. The biggest common factor number is the GCF number.
So the greatest common factor 83826 and 83846 is 2.

Also check out the Least Common Multiple of 83826 and 83846