What is the Greatest Common Factor of 46906 and 46916?

Greatest common factor (GCF) of 46906 and 46916 is 2.

GCF(46906,46916) = 2

We will now calculate the prime factors of 46906 and 46916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46906 and 46916.

How to find the GCF of 46906 and 46916?

We will first find the prime factorization of 46906 and 46916. After we will calculate the factors of 46906 and 46916 and find the biggest common factor number .

Step-1: Prime Factorization of 46906

Prime factors of 46906 are 2, 47, 499. Prime factorization of 46906 in exponential form is:

46906 = 2¹ × 47¹ × 499¹

Step-2: Prime Factorization of 46916

Prime factors of 46916 are 2, 37, 317. Prime factorization of 46916 in exponential form is:

46916 = 2² × 37¹ × 317¹

Step-3: Factors of 46906

List of positive integer factors of 46906 that divides 46906 without a remainder.

1, 2, 47, 94, 499, 998, 23453

Step-4: Factors of 46916

List of positive integer factors of 46916 that divides 46906 without a remainder.

1, 2, 4, 37, 74, 148, 317, 634, 1268, 11729, 23458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46906 and 46916. The biggest common factor number is the GCF number.
So the greatest common factor 46906 and 46916 is 2.

Also check out the Least Common Multiple of 46906 and 46916