What is the Greatest Common Factor of 46005 and 46014?

Greatest common factor (GCF) of 46005 and 46014 is 3.

GCF(46005,46014) = 3

We will now calculate the prime factors of 46005 and 46014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46005 and 46014.

How to find the GCF of 46005 and 46014?

We will first find the prime factorization of 46005 and 46014. After we will calculate the factors of 46005 and 46014 and find the biggest common factor number .

Step-1: Prime Factorization of 46005

Prime factors of 46005 are 3, 5, 3067. Prime factorization of 46005 in exponential form is:

46005 = 3¹ × 5¹ × 3067¹

Step-2: Prime Factorization of 46014

Prime factors of 46014 are 2, 3, 7669. Prime factorization of 46014 in exponential form is:

46014 = 2¹ × 3¹ × 7669¹

Step-3: Factors of 46005

List of positive integer factors of 46005 that divides 46005 without a remainder.

1, 3, 5, 15, 3067, 9201, 15335

Step-4: Factors of 46014

List of positive integer factors of 46014 that divides 46005 without a remainder.

1, 2, 3, 6, 7669, 15338, 23007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46005 and 46014. The biggest common factor number is the GCF number.
So the greatest common factor 46005 and 46014 is 3.

Also check out the Least Common Multiple of 46005 and 46014