What is the Greatest Common Factor of 7924 and 7938?

Greatest common factor (GCF) of 7924 and 7938 is 14.

GCF(7924,7938) = 14

We will now calculate the prime factors of 7924 and 7938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7924 and 7938.

How to find the GCF of 7924 and 7938?

We will first find the prime factorization of 7924 and 7938. After we will calculate the factors of 7924 and 7938 and find the biggest common factor number .

Step-1: Prime Factorization of 7924

Prime factors of 7924 are 2, 7, 283. Prime factorization of 7924 in exponential form is:

7924 = 2² × 7¹ × 283¹

Step-2: Prime Factorization of 7938

Prime factors of 7938 are 2, 3, 7. Prime factorization of 7938 in exponential form is:

7938 = 2¹ × 3⁴ × 7²

Step-3: Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962

Step-4: Factors of 7938

List of positive integer factors of 7938 that divides 7924 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7924 and 7938. The biggest common factor number is the GCF number.
So the greatest common factor 7924 and 7938 is 14.

Also check out the Least Common Multiple of 7924 and 7938