What is the Greatest Common Factor of 96748 and 96767?

Greatest common factor (GCF) of 96748 and 96767 is 19.

GCF(96748,96767) = 19

We will now calculate the prime factors of 96748 and 96767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96748 and 96767.

How to find the GCF of 96748 and 96767?

We will first find the prime factorization of 96748 and 96767. After we will calculate the factors of 96748 and 96767 and find the biggest common factor number .

Step-1: Prime Factorization of 96748

Prime factors of 96748 are 2, 19, 67. Prime factorization of 96748 in exponential form is:

96748 = 2² × 19² × 67¹

Step-2: Prime Factorization of 96767

Prime factors of 96767 are 11, 19, 463. Prime factorization of 96767 in exponential form is:

96767 = 11¹ × 19¹ × 463¹

Step-3: Factors of 96748

List of positive integer factors of 96748 that divides 96748 without a remainder.

1, 2, 4, 19, 38, 67, 76, 134, 268, 361, 722, 1273, 1444, 2546, 5092, 24187, 48374

Step-4: Factors of 96767

List of positive integer factors of 96767 that divides 96748 without a remainder.

1, 11, 19, 209, 463, 5093, 8797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96748 and 96767. The biggest common factor number is the GCF number.
So the greatest common factor 96748 and 96767 is 19.

Also check out the Least Common Multiple of 96748 and 96767