What is the Greatest Common Factor of 46806 and 46813?

Greatest common factor (GCF) of 46806 and 46813 is 1.

GCF(46806,46813) = 1

We will now calculate the prime factors of 46806 and 46813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46806 and 46813.

How to find the GCF of 46806 and 46813?

We will first find the prime factorization of 46806 and 46813. After we will calculate the factors of 46806 and 46813 and find the biggest common factor number .

Step-1: Prime Factorization of 46806

Prime factors of 46806 are 2, 3, 29, 269. Prime factorization of 46806 in exponential form is:

46806 = 2¹ × 3¹ × 29¹ × 269¹

Step-2: Prime Factorization of 46813

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

46813 = 13² × 277¹

Step-3: Factors of 46806

List of positive integer factors of 46806 that divides 46806 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 269, 538, 807, 1614, 7801, 15602, 23403

Step-4: Factors of 46813

List of positive integer factors of 46813 that divides 46806 without a remainder.

1, 13, 169, 277, 3601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46806 and 46813. The biggest common factor number is the GCF number.
So the greatest common factor 46806 and 46813 is 1.

Also check out the Least Common Multiple of 46806 and 46813