What is the Greatest Common Factor of 46809 and 46826?

Greatest common factor (GCF) of 46809 and 46826 is 1.

GCF(46809,46826) = 1

We will now calculate the prime factors of 46809 and 46826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46809 and 46826.

How to find the GCF of 46809 and 46826?

We will first find the prime factorization of 46809 and 46826. After we will calculate the factors of 46809 and 46826 and find the biggest common factor number .

Step-1: Prime Factorization of 46809

Prime factors of 46809 are 3, 7, 743. Prime factorization of 46809 in exponential form is:

46809 = 3² × 7¹ × 743¹

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 46809

List of positive integer factors of 46809 that divides 46809 without a remainder.

1, 3, 7, 9, 21, 63, 743, 2229, 5201, 6687, 15603

Step-4: Factors of 46826

List of positive integer factors of 46826 that divides 46809 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46809 and 46826. The biggest common factor number is the GCF number.
So the greatest common factor 46809 and 46826 is 1.

Also check out the Least Common Multiple of 46809 and 46826