What is the Greatest Common Factor of 46198 and 46216?

Greatest common factor (GCF) of 46198 and 46216 is 2.

GCF(46198,46216) = 2

We will now calculate the prime factors of 46198 and 46216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46198 and 46216.

How to find the GCF of 46198 and 46216?

We will first find the prime factorization of 46198 and 46216. After we will calculate the factors of 46198 and 46216 and find the biggest common factor number .

Step-1: Prime Factorization of 46198

Prime factors of 46198 are 2, 23099. Prime factorization of 46198 in exponential form is:

46198 = 2¹ × 23099¹

Step-2: Prime Factorization of 46216

Prime factors of 46216 are 2, 53, 109. Prime factorization of 46216 in exponential form is:

46216 = 2³ × 53¹ × 109¹

Step-3: Factors of 46198

List of positive integer factors of 46198 that divides 46198 without a remainder.

1, 2, 23099

Step-4: Factors of 46216

List of positive integer factors of 46216 that divides 46198 without a remainder.

1, 2, 4, 8, 53, 106, 109, 212, 218, 424, 436, 872, 5777, 11554, 23108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46198 and 46216. The biggest common factor number is the GCF number.
So the greatest common factor 46198 and 46216 is 2.

Also check out the Least Common Multiple of 46198 and 46216