What is the Greatest Common Factor of 7938 and 7945?

Greatest common factor (GCF) of 7938 and 7945 is 7.

GCF(7938,7945) = 7

We will now calculate the prime factors of 7938 and 7945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7938 and 7945.

How to find the GCF of 7938 and 7945?

We will first find the prime factorization of 7938 and 7945. After we will calculate the factors of 7938 and 7945 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 7945

Prime factors of 7945 are 5, 7, 227. Prime factorization of 7945 in exponential form is:

7945 = 5¹ × 7¹ × 227¹

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 7945

List of positive integer factors of 7945 that divides 7938 without a remainder.

1, 5, 7, 35, 227, 1135, 1589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7938 and 7945. The biggest common factor number is the GCF number.
So the greatest common factor 7938 and 7945 is 7.

Also check out the Least Common Multiple of 7938 and 7945