What is the Greatest Common Factor of 96943 and 96957?

Greatest common factor (GCF) of 96943 and 96957 is 7.

GCF(96943,96957) = 7

We will now calculate the prime factors of 96943 and 96957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96943 and 96957.

How to find the GCF of 96943 and 96957?

We will first find the prime factorization of 96943 and 96957. After we will calculate the factors of 96943 and 96957 and find the biggest common factor number .

Step-1: Prime Factorization of 96943

Prime factors of 96943 are 7, 11, 1259. Prime factorization of 96943 in exponential form is:

96943 = 7¹ × 11¹ × 1259¹

Step-2: Prime Factorization of 96957

Prime factors of 96957 are 3, 7, 19. Prime factorization of 96957 in exponential form is:

96957 = 3⁶ × 7¹ × 19¹

Step-3: Factors of 96943

List of positive integer factors of 96943 that divides 96943 without a remainder.

1, 7, 11, 77, 1259, 8813, 13849

Step-4: Factors of 96957

List of positive integer factors of 96957 that divides 96943 without a remainder.

1, 3, 7, 9, 19, 21, 27, 57, 63, 81, 133, 171, 189, 243, 399, 513, 567, 729, 1197, 1539, 1701, 3591, 4617, 5103, 10773, 13851, 32319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96943 and 96957. The biggest common factor number is the GCF number.
So the greatest common factor 96943 and 96957 is 7.

Also check out the Least Common Multiple of 96943 and 96957