What is the Greatest Common Factor of 46809 and 46825?

Greatest common factor (GCF) of 46809 and 46825 is 1.

GCF(46809,46825) = 1

We will now calculate the prime factors of 46809 and 46825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46809 and 46825.

How to find the GCF of 46809 and 46825?

We will first find the prime factorization of 46809 and 46825. After we will calculate the factors of 46809 and 46825 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 46825

Prime factors of 46825 are 5, 1873. Prime factorization of 46825 in exponential form is:

46825 = 5² × 1873¹

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 46825

List of positive integer factors of 46825 that divides 46809 without a remainder.

1, 5, 25, 1873, 9365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46809 and 46825. The biggest common factor number is the GCF number.
So the greatest common factor 46809 and 46825 is 1.

Also check out the Least Common Multiple of 46809 and 46825