What is the Greatest Common Factor of 83842 and 83852?

Greatest common factor (GCF) of 83842 and 83852 is 2.

GCF(83842,83852) = 2

We will now calculate the prime factors of 83842 and 83852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83842 and 83852.

How to find the GCF of 83842 and 83852?

We will first find the prime factorization of 83842 and 83852. After we will calculate the factors of 83842 and 83852 and find the biggest common factor number .

Step-1: Prime Factorization of 83842

Prime factors of 83842 are 2, 11, 37, 103. Prime factorization of 83842 in exponential form is:

83842 = 2¹ × 11¹ × 37¹ × 103¹

Step-2: Prime Factorization of 83852

Prime factors of 83852 are 2, 20963. Prime factorization of 83852 in exponential form is:

83852 = 2² × 20963¹

Step-3: Factors of 83842

List of positive integer factors of 83842 that divides 83842 without a remainder.

1, 2, 11, 22, 37, 74, 103, 206, 407, 814, 1133, 2266, 3811, 7622, 41921

Step-4: Factors of 83852

List of positive integer factors of 83852 that divides 83842 without a remainder.

1, 2, 4, 20963, 41926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83842 and 83852. The biggest common factor number is the GCF number.
So the greatest common factor 83842 and 83852 is 2.

Also check out the Least Common Multiple of 83842 and 83852