What is the Greatest Common Factor of 96700 and 96710?

Greatest common factor (GCF) of 96700 and 96710 is 10.

GCF(96700,96710) = 10

We will now calculate the prime factors of 96700 and 96710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96700 and 96710.

How to find the GCF of 96700 and 96710?

We will first find the prime factorization of 96700 and 96710. After we will calculate the factors of 96700 and 96710 and find the biggest common factor number .

Step-1: Prime Factorization of 96700

Prime factors of 96700 are 2, 5, 967. Prime factorization of 96700 in exponential form is:

96700 = 2² × 5² × 967¹

Step-2: 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-3: Factors of 96700

List of positive integer factors of 96700 that divides 96700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 967, 1934, 3868, 4835, 9670, 19340, 24175, 48350

Step-4: Factors of 96710

List of positive integer factors of 96710 that divides 96700 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96700 and 96710. The biggest common factor number is the GCF number.
So the greatest common factor 96700 and 96710 is 10.

Also check out the Least Common Multiple of 96700 and 96710