What is the Greatest Common Factor of 46048 and 46066?

Greatest common factor (GCF) of 46048 and 46066 is 2.

GCF(46048,46066) = 2

We will now calculate the prime factors of 46048 and 46066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46048 and 46066.

How to find the GCF of 46048 and 46066?

We will first find the prime factorization of 46048 and 46066. After we will calculate the factors of 46048 and 46066 and find the biggest common factor number .

Step-1: Prime Factorization of 46048

Prime factors of 46048 are 2, 1439. Prime factorization of 46048 in exponential form is:

46048 = 2⁵ × 1439¹

Step-2: Prime Factorization of 46066

Prime factors of 46066 are 2, 31, 743. Prime factorization of 46066 in exponential form is:

46066 = 2¹ × 31¹ × 743¹

Step-3: Factors of 46048

List of positive integer factors of 46048 that divides 46048 without a remainder.

1, 2, 4, 8, 16, 32, 1439, 2878, 5756, 11512, 23024

Step-4: Factors of 46066

List of positive integer factors of 46066 that divides 46048 without a remainder.

1, 2, 31, 62, 743, 1486, 23033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46048 and 46066. The biggest common factor number is the GCF number.
So the greatest common factor 46048 and 46066 is 2.

Also check out the Least Common Multiple of 46048 and 46066