What is the Greatest Common Factor of 96710 and 96729?

Greatest common factor (GCF) of 96710 and 96729 is 19.

GCF(96710,96729) = 19

We will now calculate the prime factors of 96710 and 96729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96710 and 96729.

How to find the GCF of 96710 and 96729?

We will first find the prime factorization of 96710 and 96729. After we will calculate the factors of 96710 and 96729 and find the biggest common factor number .

Step-1: Prime Factorization of 96710

Prime factors of 96710 are 2, 5, 19, 509. Prime factorization of 96710 in exponential form is:

96710 = 2¹ × 5¹ × 19¹ × 509¹

Step-2: Prime Factorization of 96729

Prime factors of 96729 are 3, 19, 1697. Prime factorization of 96729 in exponential form is:

96729 = 3¹ × 19¹ × 1697¹

Step-3: Factors of 96710

List of positive integer factors of 96710 that divides 96710 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 509, 1018, 2545, 5090, 9671, 19342, 48355

Step-4: Factors of 96729

List of positive integer factors of 96729 that divides 96710 without a remainder.

1, 3, 19, 57, 1697, 5091, 32243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96710 and 96729. The biggest common factor number is the GCF number.
So the greatest common factor 96710 and 96729 is 19.

Also check out the Least Common Multiple of 96710 and 96729