What is the Greatest Common Factor of 46813 and 46828?

Greatest common factor (GCF) of 46813 and 46828 is 1.

GCF(46813,46828) = 1

We will now calculate the prime factors of 46813 and 46828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46813 and 46828.

How to find the GCF of 46813 and 46828?

We will first find the prime factorization of 46813 and 46828. After we will calculate the factors of 46813 and 46828 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 46828

Prime factors of 46828 are 2, 23, 509. Prime factorization of 46828 in exponential form is:

46828 = 2² × 23¹ × 509¹

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 46828

List of positive integer factors of 46828 that divides 46813 without a remainder.

1, 2, 4, 23, 46, 92, 509, 1018, 2036, 11707, 23414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46813 and 46828. The biggest common factor number is the GCF number.
So the greatest common factor 46813 and 46828 is 1.

Also check out the Least Common Multiple of 46813 and 46828