What is the Greatest Common Factor of 38934 and 38946?

Greatest common factor (GCF) of 38934 and 38946 is 6.

GCF(38934,38946) = 6

We will now calculate the prime factors of 38934 and 38946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38934 and 38946.

How to find the GCF of 38934 and 38946?

We will first find the prime factorization of 38934 and 38946. After we will calculate the factors of 38934 and 38946 and find the biggest common factor number .

Step-1: Prime Factorization of 38934

Prime factors of 38934 are 2, 3, 7, 103. Prime factorization of 38934 in exponential form is:

38934 = 2¹ × 3³ × 7¹ × 103¹

Step-2: 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-3: Factors of 38934

List of positive integer factors of 38934 that divides 38934 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 103, 126, 189, 206, 309, 378, 618, 721, 927, 1442, 1854, 2163, 2781, 4326, 5562, 6489, 12978, 19467

Step-4: Factors of 38946

List of positive integer factors of 38946 that divides 38934 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38934 and 38946. The biggest common factor number is the GCF number.
So the greatest common factor 38934 and 38946 is 6.

Also check out the Least Common Multiple of 38934 and 38946