What is the Greatest Common Factor of 82932 and 82942?

Greatest common factor (GCF) of 82932 and 82942 is 2.

GCF(82932,82942) = 2

We will now calculate the prime factors of 82932 and 82942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82932 and 82942.

How to find the GCF of 82932 and 82942?

We will first find the prime factorization of 82932 and 82942. After we will calculate the factors of 82932 and 82942 and find the biggest common factor number .

Step-1: Prime Factorization of 82932

Prime factors of 82932 are 2, 3, 6911. Prime factorization of 82932 in exponential form is:

82932 = 2² × 3¹ × 6911¹

Step-2: Prime Factorization of 82942

Prime factors of 82942 are 2, 113, 367. Prime factorization of 82942 in exponential form is:

82942 = 2¹ × 113¹ × 367¹

Step-3: Factors of 82932

List of positive integer factors of 82932 that divides 82932 without a remainder.

1, 2, 3, 4, 6, 12, 6911, 13822, 20733, 27644, 41466

Step-4: Factors of 82942

List of positive integer factors of 82942 that divides 82932 without a remainder.

1, 2, 113, 226, 367, 734, 41471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82932 and 82942. The biggest common factor number is the GCF number.
So the greatest common factor 82932 and 82942 is 2.

Also check out the Least Common Multiple of 82932 and 82942