What is the Greatest Common Factor of 42902 and 42918?

Greatest common factor (GCF) of 42902 and 42918 is 2.

GCF(42902,42918) = 2

We will now calculate the prime factors of 42902 and 42918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42902 and 42918.

How to find the GCF of 42902 and 42918?

We will first find the prime factorization of 42902 and 42918. After we will calculate the factors of 42902 and 42918 and find the biggest common factor number .

Step-1: Prime Factorization of 42902

Prime factors of 42902 are 2, 19, 1129. Prime factorization of 42902 in exponential form is:

42902 = 2¹ × 19¹ × 1129¹

Step-2: 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-3: Factors of 42902

List of positive integer factors of 42902 that divides 42902 without a remainder.

1, 2, 19, 38, 1129, 2258, 21451

Step-4: Factors of 42918

List of positive integer factors of 42918 that divides 42902 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42902 and 42918. The biggest common factor number is the GCF number.
So the greatest common factor 42902 and 42918 is 2.

Also check out the Least Common Multiple of 42902 and 42918