What is the Greatest Common Factor of 42898 and 42916?

Greatest common factor (GCF) of 42898 and 42916 is 2.

GCF(42898,42916) = 2

We will now calculate the prime factors of 42898 and 42916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42898 and 42916.

How to find the GCF of 42898 and 42916?

We will first find the prime factorization of 42898 and 42916. After we will calculate the factors of 42898 and 42916 and find the biggest common factor number .

Step-1: Prime Factorization of 42898

Prime factors of 42898 are 2, 89, 241. Prime factorization of 42898 in exponential form is:

42898 = 2¹ × 89¹ × 241¹

Step-2: Prime Factorization of 42916

Prime factors of 42916 are 2, 10729. Prime factorization of 42916 in exponential form is:

42916 = 2² × 10729¹

Step-3: Factors of 42898

List of positive integer factors of 42898 that divides 42898 without a remainder.

1, 2, 89, 178, 241, 482, 21449

Step-4: Factors of 42916

List of positive integer factors of 42916 that divides 42898 without a remainder.

1, 2, 4, 10729, 21458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42898 and 42916. The biggest common factor number is the GCF number.
So the greatest common factor 42898 and 42916 is 2.

Also check out the Least Common Multiple of 42898 and 42916