What is the Greatest Common Factor of 46813 and 46826?

Greatest common factor (GCF) of 46813 and 46826 is 13.

GCF(46813,46826) = 13

We will now calculate the prime factors of 46813 and 46826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46813 and 46826.

How to find the GCF of 46813 and 46826?

We will first find the prime factorization of 46813 and 46826. After we will calculate the factors of 46813 and 46826 and find the biggest common factor number .

Step-1: Prime Factorization of 46813

Prime factors of 46813 are 13, 277. Prime factorization of 46813 in exponential form is:

46813 = 13² × 277¹

Step-2: Prime Factorization of 46826

Prime factors of 46826 are 2, 13, 1801. Prime factorization of 46826 in exponential form is:

46826 = 2¹ × 13¹ × 1801¹

Step-3: Factors of 46813

List of positive integer factors of 46813 that divides 46813 without a remainder.

1, 13, 169, 277, 3601

Step-4: Factors of 46826

List of positive integer factors of 46826 that divides 46813 without a remainder.

1, 2, 13, 26, 1801, 3602, 23413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46813 and 46826. The biggest common factor number is the GCF number.
So the greatest common factor 46813 and 46826 is 13.

Also check out the Least Common Multiple of 46813 and 46826