What is the Greatest Common Factor of 96929 and 96943?

Greatest common factor (GCF) of 96929 and 96943 is 7.

GCF(96929,96943) = 7

We will now calculate the prime factors of 96929 and 96943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96929 and 96943.

How to find the GCF of 96929 and 96943?

We will first find the prime factorization of 96929 and 96943. After we will calculate the factors of 96929 and 96943 and find the biggest common factor number .

Step-1: Prime Factorization of 96929

Prime factors of 96929 are 7, 61, 227. Prime factorization of 96929 in exponential form is:

96929 = 7¹ × 61¹ × 227¹

Step-2: 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-3: Factors of 96929

List of positive integer factors of 96929 that divides 96929 without a remainder.

1, 7, 61, 227, 427, 1589, 13847

Step-4: Factors of 96943

List of positive integer factors of 96943 that divides 96929 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96929 and 96943. The biggest common factor number is the GCF number.
So the greatest common factor 96929 and 96943 is 7.

Also check out the Least Common Multiple of 96929 and 96943