What is the Greatest Common Factor of 46997 and 47007?

Greatest common factor (GCF) of 46997 and 47007 is 1.

GCF(46997,47007) = 1

We will now calculate the prime factors of 46997 and 47007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46997 and 47007.

How to find the GCF of 46997 and 47007?

We will first find the prime factorization of 46997 and 47007. After we will calculate the factors of 46997 and 47007 and find the biggest common factor number .

Step-1: Prime Factorization of 46997

Prime factors of 46997 are 46997. Prime factorization of 46997 in exponential form is:

46997 = 46997¹

Step-2: Prime Factorization of 47007

Prime factors of 47007 are 3, 1741. Prime factorization of 47007 in exponential form is:

47007 = 3³ × 1741¹

Step-3: Factors of 46997

List of positive integer factors of 46997 that divides 46997 without a remainder.

Step-4: Factors of 47007

List of positive integer factors of 47007 that divides 46997 without a remainder.

1, 3, 9, 27, 1741, 5223, 15669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46997 and 47007. The biggest common factor number is the GCF number.
So the greatest common factor 46997 and 47007 is 1.

Also check out the Least Common Multiple of 46997 and 47007