What is the Greatest Common Factor of 46928 and 46940?

Greatest common factor (GCF) of 46928 and 46940 is 4.

GCF(46928,46940) = 4

We will now calculate the prime factors of 46928 and 46940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46928 and 46940.

How to find the GCF of 46928 and 46940?

We will first find the prime factorization of 46928 and 46940. After we will calculate the factors of 46928 and 46940 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 46940

Prime factors of 46940 are 2, 5, 2347. Prime factorization of 46940 in exponential form is:

46940 = 2² × 5¹ × 2347¹

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 46940

List of positive integer factors of 46940 that divides 46928 without a remainder.

1, 2, 4, 5, 10, 20, 2347, 4694, 9388, 11735, 23470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46928 and 46940. The biggest common factor number is the GCF number.
So the greatest common factor 46928 and 46940 is 4.

Also check out the Least Common Multiple of 46928 and 46940