What is the Greatest Common Factor of 7938 and 7956?

Greatest common factor (GCF) of 7938 and 7956 is 18.

GCF(7938,7956) = 18

We will now calculate the prime factors of 7938 and 7956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7938 and 7956.

How to find the GCF of 7938 and 7956?

We will first find the prime factorization of 7938 and 7956. After we will calculate the factors of 7938 and 7956 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7956

Prime factors of 7956 are 2, 3, 13, 17. Prime factorization of 7956 in exponential form is:

7956 = 2² × 3² × 13¹ × 17¹

Step-3: Factors of 7938

List of positive integer factors of 7938 that divides 7938 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

Step-4: Factors of 7956

List of positive integer factors of 7956 that divides 7938 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7938 and 7956. The biggest common factor number is the GCF number.
So the greatest common factor 7938 and 7956 is 18.

Also check out the Least Common Multiple of 7938 and 7956