What is the Greatest Common Factor of 83846 and 83862?

Greatest common factor (GCF) of 83846 and 83862 is 2.

GCF(83846,83862) = 2

We will now calculate the prime factors of 83846 and 83862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83846 and 83862.

How to find the GCF of 83846 and 83862?

We will first find the prime factorization of 83846 and 83862. After we will calculate the factors of 83846 and 83862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83862

Prime factors of 83862 are 2, 3, 1553. Prime factorization of 83862 in exponential form is:

83862 = 2¹ × 3³ × 1553¹

Step-3: Factors of 83846

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

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

Step-4: Factors of 83862

List of positive integer factors of 83862 that divides 83846 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1553, 3106, 4659, 9318, 13977, 27954, 41931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83846 and 83862. The biggest common factor number is the GCF number.
So the greatest common factor 83846 and 83862 is 2.

Also check out the Least Common Multiple of 83846 and 83862