What is the Greatest Common Factor of 46978 and 46997?

Greatest common factor (GCF) of 46978 and 46997 is 1.

GCF(46978,46997) = 1

We will now calculate the prime factors of 46978 and 46997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46978 and 46997.

How to find the GCF of 46978 and 46997?

We will first find the prime factorization of 46978 and 46997. After we will calculate the factors of 46978 and 46997 and find the biggest common factor number .

Step-1: Prime Factorization of 46978

Prime factors of 46978 are 2, 83, 283. Prime factorization of 46978 in exponential form is:

46978 = 2¹ × 83¹ × 283¹

Step-2: Prime Factorization of 46997

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

46997 = 46997¹

Step-3: Factors of 46978

List of positive integer factors of 46978 that divides 46978 without a remainder.

1, 2, 83, 166, 283, 566, 23489

Step-4: Factors of 46997

List of positive integer factors of 46997 that divides 46978 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46978 and 46997. The biggest common factor number is the GCF number.
So the greatest common factor 46978 and 46997 is 1.

Also check out the Least Common Multiple of 46978 and 46997