What is the Greatest Common Factor of 42918 and 42932?

Greatest common factor (GCF) of 42918 and 42932 is 2.

GCF(42918,42932) = 2

We will now calculate the prime factors of 42918 and 42932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42918 and 42932.

How to find the GCF of 42918 and 42932?

We will first find the prime factorization of 42918 and 42932. After we will calculate the factors of 42918 and 42932 and find the biggest common factor number .

Step-1: Prime Factorization of 42918

Prime factors of 42918 are 2, 3, 23, 311. Prime factorization of 42918 in exponential form is:

42918 = 2¹ × 3¹ × 23¹ × 311¹

Step-2: Prime Factorization of 42932

Prime factors of 42932 are 2, 10733. Prime factorization of 42932 in exponential form is:

42932 = 2² × 10733¹

Step-3: Factors of 42918

List of positive integer factors of 42918 that divides 42918 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 311, 622, 933, 1866, 7153, 14306, 21459

Step-4: Factors of 42932

List of positive integer factors of 42932 that divides 42918 without a remainder.

1, 2, 4, 10733, 21466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42918 and 42932. The biggest common factor number is the GCF number.
So the greatest common factor 42918 and 42932 is 2.

Also check out the Least Common Multiple of 42918 and 42932