What is the Greatest Common Factor of 46928 and 46946?

Greatest common factor (GCF) of 46928 and 46946 is 2.

GCF(46928,46946) = 2

We will now calculate the prime factors of 46928 and 46946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46928 and 46946.

How to find the GCF of 46928 and 46946?

We will first find the prime factorization of 46928 and 46946. After we will calculate the factors of 46928 and 46946 and find the biggest common factor number .

Step-1: Prime Factorization of 46928

Prime factors of 46928 are 2, 7, 419. Prime factorization of 46928 in exponential form is:

46928 = 2⁴ × 7¹ × 419¹

Step-2: Prime Factorization of 46946

Prime factors of 46946 are 2, 23473. Prime factorization of 46946 in exponential form is:

46946 = 2¹ × 23473¹

Step-3: Factors of 46928

List of positive integer factors of 46928 that divides 46928 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 419, 838, 1676, 2933, 3352, 5866, 6704, 11732, 23464

Step-4: Factors of 46946

List of positive integer factors of 46946 that divides 46928 without a remainder.

1, 2, 23473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46928 and 46946. The biggest common factor number is the GCF number.
So the greatest common factor 46928 and 46946 is 2.

Also check out the Least Common Multiple of 46928 and 46946