What is the Greatest Common Factor of 96658 and 96670?

Greatest common factor (GCF) of 96658 and 96670 is 2.

GCF(96658,96670) = 2

We will now calculate the prime factors of 96658 and 96670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96658 and 96670.

How to find the GCF of 96658 and 96670?

We will first find the prime factorization of 96658 and 96670. After we will calculate the factors of 96658 and 96670 and find the biggest common factor number .

Step-1: Prime Factorization of 96658

Prime factors of 96658 are 2, 31, 1559. Prime factorization of 96658 in exponential form is:

96658 = 2¹ × 31¹ × 1559¹

Step-2: 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-3: Factors of 96658

List of positive integer factors of 96658 that divides 96658 without a remainder.

1, 2, 31, 62, 1559, 3118, 48329

Step-4: Factors of 96670

List of positive integer factors of 96670 that divides 96658 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96658 and 96670. The biggest common factor number is the GCF number.
So the greatest common factor 96658 and 96670 is 2.

Also check out the Least Common Multiple of 96658 and 96670