What is the Greatest Common Factor of 96747 and 96761?

Greatest common factor (GCF) of 96747 and 96761 is 7.

GCF(96747,96761) = 7

We will now calculate the prime factors of 96747 and 96761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96747 and 96761.

How to find the GCF of 96747 and 96761?

We will first find the prime factorization of 96747 and 96761. After we will calculate the factors of 96747 and 96761 and find the biggest common factor number .

Step-1: Prime Factorization of 96747

Prime factors of 96747 are 3, 7, 17, 271. Prime factorization of 96747 in exponential form is:

96747 = 3¹ × 7¹ × 17¹ × 271¹

Step-2: Prime Factorization of 96761

Prime factors of 96761 are 7, 23, 601. Prime factorization of 96761 in exponential form is:

96761 = 7¹ × 23¹ × 601¹

Step-3: Factors of 96747

List of positive integer factors of 96747 that divides 96747 without a remainder.

1, 3, 7, 17, 21, 51, 119, 271, 357, 813, 1897, 4607, 5691, 13821, 32249

Step-4: Factors of 96761

List of positive integer factors of 96761 that divides 96747 without a remainder.

1, 7, 23, 161, 601, 4207, 13823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96747 and 96761. The biggest common factor number is the GCF number.
So the greatest common factor 96747 and 96761 is 7.

Also check out the Least Common Multiple of 96747 and 96761