What is the Greatest Common Factor of 45938 and 45947?

Greatest common factor (GCF) of 45938 and 45947 is 1.

GCF(45938,45947) = 1

We will now calculate the prime factors of 45938 and 45947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45938 and 45947.

How to find the GCF of 45938 and 45947?

We will first find the prime factorization of 45938 and 45947. After we will calculate the factors of 45938 and 45947 and find the biggest common factor number .

Step-1: Prime Factorization of 45938

Prime factors of 45938 are 2, 103, 223. Prime factorization of 45938 in exponential form is:

45938 = 2¹ × 103¹ × 223¹

Step-2: Prime Factorization of 45947

Prime factors of 45947 are 11, 4177. Prime factorization of 45947 in exponential form is:

45947 = 11¹ × 4177¹

Step-3: Factors of 45938

List of positive integer factors of 45938 that divides 45938 without a remainder.

1, 2, 103, 206, 223, 446, 22969

Step-4: Factors of 45947

List of positive integer factors of 45947 that divides 45938 without a remainder.

1, 11, 4177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45938 and 45947. The biggest common factor number is the GCF number.
So the greatest common factor 45938 and 45947 is 1.

Also check out the Least Common Multiple of 45938 and 45947