What is the Greatest Common Factor of 38946 and 38954?

Greatest common factor (GCF) of 38946 and 38954 is 2.

GCF(38946,38954) = 2

We will now calculate the prime factors of 38946 and 38954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38946 and 38954.

How to find the GCF of 38946 and 38954?

We will first find the prime factorization of 38946 and 38954. After we will calculate the factors of 38946 and 38954 and find the biggest common factor number .

Step-1: Prime Factorization of 38946

Prime factors of 38946 are 2, 3, 6491. Prime factorization of 38946 in exponential form is:

38946 = 2¹ × 3¹ × 6491¹

Step-2: Prime Factorization of 38954

Prime factors of 38954 are 2, 19477. Prime factorization of 38954 in exponential form is:

38954 = 2¹ × 19477¹

Step-3: Factors of 38946

List of positive integer factors of 38946 that divides 38946 without a remainder.

1, 2, 3, 6, 6491, 12982, 19473

Step-4: Factors of 38954

List of positive integer factors of 38954 that divides 38946 without a remainder.

1, 2, 19477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38946 and 38954. The biggest common factor number is the GCF number.
So the greatest common factor 38946 and 38954 is 2.

Also check out the Least Common Multiple of 38946 and 38954