What is the Greatest Common Factor of 46071 and 46083?

Greatest common factor (GCF) of 46071 and 46083 is 3.

GCF(46071,46083) = 3

We will now calculate the prime factors of 46071 and 46083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46071 and 46083.

How to find the GCF of 46071 and 46083?

We will first find the prime factorization of 46071 and 46083. After we will calculate the factors of 46071 and 46083 and find the biggest common factor number .

Step-1: Prime Factorization of 46071

Prime factors of 46071 are 3, 5119. Prime factorization of 46071 in exponential form is:

46071 = 3² × 5119¹

Step-2: Prime Factorization of 46083

Prime factors of 46083 are 3, 15361. Prime factorization of 46083 in exponential form is:

46083 = 3¹ × 15361¹

Step-3: Factors of 46071

List of positive integer factors of 46071 that divides 46071 without a remainder.

1, 3, 9, 5119, 15357

Step-4: Factors of 46083

List of positive integer factors of 46083 that divides 46071 without a remainder.

1, 3, 15361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46071 and 46083. The biggest common factor number is the GCF number.
So the greatest common factor 46071 and 46083 is 3.

Also check out the Least Common Multiple of 46071 and 46083