What is the Greatest Common Factor of 46960 and 46966?

Greatest common factor (GCF) of 46960 and 46966 is 2.

GCF(46960,46966) = 2

We will now calculate the prime factors of 46960 and 46966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46960 and 46966.

How to find the GCF of 46960 and 46966?

We will first find the prime factorization of 46960 and 46966. After we will calculate the factors of 46960 and 46966 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 46966

Prime factors of 46966 are 2, 23, 1021. Prime factorization of 46966 in exponential form is:

46966 = 2¹ × 23¹ × 1021¹

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 46966

List of positive integer factors of 46966 that divides 46960 without a remainder.

1, 2, 23, 46, 1021, 2042, 23483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46960 and 46966. The biggest common factor number is the GCF number.
So the greatest common factor 46960 and 46966 is 2.

Also check out the Least Common Multiple of 46960 and 46966