What is the Greatest Common Factor of 96700 and 96715?

Greatest common factor (GCF) of 96700 and 96715 is 5.

GCF(96700,96715) = 5

We will now calculate the prime factors of 96700 and 96715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96700 and 96715.

How to find the GCF of 96700 and 96715?

We will first find the prime factorization of 96700 and 96715. After we will calculate the factors of 96700 and 96715 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 96715

Prime factors of 96715 are 5, 23, 29. Prime factorization of 96715 in exponential form is:

96715 = 5¹ × 23¹ × 29²

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 96715

List of positive integer factors of 96715 that divides 96700 without a remainder.

1, 5, 23, 29, 115, 145, 667, 841, 3335, 4205, 19343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96700 and 96715. The biggest common factor number is the GCF number.
So the greatest common factor 96700 and 96715 is 5.

Also check out the Least Common Multiple of 96700 and 96715