What is the Greatest Common Factor of 46960 and 46973?

Greatest common factor (GCF) of 46960 and 46973 is 1.

GCF(46960,46973) = 1

We will now calculate the prime factors of 46960 and 46973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46960 and 46973.

How to find the GCF of 46960 and 46973?

We will first find the prime factorization of 46960 and 46973. After we will calculate the factors of 46960 and 46973 and find the biggest common factor number .

Step-1: Prime Factorization of 46960

Prime factors of 46960 are 2, 5, 587. Prime factorization of 46960 in exponential form is:

46960 = 2⁴ × 5¹ × 587¹

Step-2: Prime Factorization of 46973

Prime factors of 46973 are 107, 439. Prime factorization of 46973 in exponential form is:

46973 = 107¹ × 439¹

Step-3: Factors of 46960

List of positive integer factors of 46960 that divides 46960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 587, 1174, 2348, 2935, 4696, 5870, 9392, 11740, 23480

Step-4: Factors of 46973

List of positive integer factors of 46973 that divides 46960 without a remainder.

1, 107, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46960 and 46973. The biggest common factor number is the GCF number.
So the greatest common factor 46960 and 46973 is 1.

Also check out the Least Common Multiple of 46960 and 46973