What is the Greatest Common Factor of 38934 and 38941?

Greatest common factor (GCF) of 38934 and 38941 is 7.

GCF(38934,38941) = 7

We will now calculate the prime factors of 38934 and 38941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38934 and 38941.

How to find the GCF of 38934 and 38941?

We will first find the prime factorization of 38934 and 38941. After we will calculate the factors of 38934 and 38941 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 38941

Prime factors of 38941 are 7, 5563. Prime factorization of 38941 in exponential form is:

38941 = 7¹ × 5563¹

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 38941

List of positive integer factors of 38941 that divides 38934 without a remainder.

1, 7, 5563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38934 and 38941. The biggest common factor number is the GCF number.
So the greatest common factor 38934 and 38941 is 7.

Also check out the Least Common Multiple of 38934 and 38941