What is the Greatest Common Factor of 96670 and 96690?

Greatest common factor (GCF) of 96670 and 96690 is 10.

GCF(96670,96690) = 10

We will now calculate the prime factors of 96670 and 96690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96670 and 96690.

How to find the GCF of 96670 and 96690?

We will first find the prime factorization of 96670 and 96690. After we will calculate the factors of 96670 and 96690 and find the biggest common factor number .

Step-1: Prime Factorization of 96670

Prime factors of 96670 are 2, 5, 7, 1381. Prime factorization of 96670 in exponential form is:

96670 = 2¹ × 5¹ × 7¹ × 1381¹

Step-2: Prime Factorization of 96690

Prime factors of 96690 are 2, 3, 5, 11, 293. Prime factorization of 96690 in exponential form is:

96690 = 2¹ × 3¹ × 5¹ × 11¹ × 293¹

Step-3: Factors of 96670

List of positive integer factors of 96670 that divides 96670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1381, 2762, 6905, 9667, 13810, 19334, 48335

Step-4: Factors of 96690

List of positive integer factors of 96690 that divides 96670 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 293, 330, 586, 879, 1465, 1758, 2930, 3223, 4395, 6446, 8790, 9669, 16115, 19338, 32230, 48345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96670 and 96690. The biggest common factor number is the GCF number.
So the greatest common factor 96670 and 96690 is 10.

Also check out the Least Common Multiple of 96670 and 96690