What is the Greatest Common Factor of 38934 and 38949?

Greatest common factor (GCF) of 38934 and 38949 is 3.

GCF(38934,38949) = 3

We will now calculate the prime factors of 38934 and 38949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38934 and 38949.

How to find the GCF of 38934 and 38949?

We will first find the prime factorization of 38934 and 38949. After we will calculate the factors of 38934 and 38949 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 38949

Prime factors of 38949 are 3, 12983. Prime factorization of 38949 in exponential form is:

38949 = 3¹ × 12983¹

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 38949

List of positive integer factors of 38949 that divides 38934 without a remainder.

1, 3, 12983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38934 and 38949. The biggest common factor number is the GCF number.
So the greatest common factor 38934 and 38949 is 3.

Also check out the Least Common Multiple of 38934 and 38949