What is the Greatest Common Factor of 46038 and 46054?

Greatest common factor (GCF) of 46038 and 46054 is 2.

GCF(46038,46054) = 2

We will now calculate the prime factors of 46038 and 46054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46038 and 46054.

How to find the GCF of 46038 and 46054?

We will first find the prime factorization of 46038 and 46054. After we will calculate the factors of 46038 and 46054 and find the biggest common factor number .

Step-1: Prime Factorization of 46038

Prime factors of 46038 are 2, 3, 7673. Prime factorization of 46038 in exponential form is:

46038 = 2¹ × 3¹ × 7673¹

Step-2: Prime Factorization of 46054

Prime factors of 46054 are 2, 23027. Prime factorization of 46054 in exponential form is:

46054 = 2¹ × 23027¹

Step-3: Factors of 46038

List of positive integer factors of 46038 that divides 46038 without a remainder.

1, 2, 3, 6, 7673, 15346, 23019

Step-4: Factors of 46054

List of positive integer factors of 46054 that divides 46038 without a remainder.

1, 2, 23027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46038 and 46054. The biggest common factor number is the GCF number.
So the greatest common factor 46038 and 46054 is 2.

Also check out the Least Common Multiple of 46038 and 46054