What is the Greatest Common Factor of 96735 and 96749?

Greatest common factor (GCF) of 96735 and 96749 is 1.

GCF(96735,96749) = 1

We will now calculate the prime factors of 96735 and 96749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96735 and 96749.

How to find the GCF of 96735 and 96749?

We will first find the prime factorization of 96735 and 96749. After we will calculate the factors of 96735 and 96749 and find the biggest common factor number .

Step-1: Prime Factorization of 96735

Prime factors of 96735 are 3, 5, 6449. Prime factorization of 96735 in exponential form is:

96735 = 3¹ × 5¹ × 6449¹

Step-2: Prime Factorization of 96749

Prime factors of 96749 are 96749. Prime factorization of 96749 in exponential form is:

96749 = 96749¹

Step-3: Factors of 96735

List of positive integer factors of 96735 that divides 96735 without a remainder.

1, 3, 5, 15, 6449, 19347, 32245

Step-4: Factors of 96749

List of positive integer factors of 96749 that divides 96735 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96735 and 96749. The biggest common factor number is the GCF number.
So the greatest common factor 96735 and 96749 is 1.

Also check out the Least Common Multiple of 96735 and 96749