What is the Greatest Common Factor of 96845 and 96860?

Greatest common factor (GCF) of 96845 and 96860 is 5.

GCF(96845,96860) = 5

We will now calculate the prime factors of 96845 and 96860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96845 and 96860.

How to find the GCF of 96845 and 96860?

We will first find the prime factorization of 96845 and 96860. After we will calculate the factors of 96845 and 96860 and find the biggest common factor number .

Step-1: Prime Factorization of 96845

Prime factors of 96845 are 5, 7, 2767. Prime factorization of 96845 in exponential form is:

96845 = 5¹ × 7¹ × 2767¹

Step-2: Prime Factorization of 96860

Prime factors of 96860 are 2, 5, 29, 167. Prime factorization of 96860 in exponential form is:

96860 = 2² × 5¹ × 29¹ × 167¹

Step-3: Factors of 96845

List of positive integer factors of 96845 that divides 96845 without a remainder.

1, 5, 7, 35, 2767, 13835, 19369

Step-4: Factors of 96860

List of positive integer factors of 96860 that divides 96845 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 167, 290, 334, 580, 668, 835, 1670, 3340, 4843, 9686, 19372, 24215, 48430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96845 and 96860. The biggest common factor number is the GCF number.
So the greatest common factor 96845 and 96860 is 5.

Also check out the Least Common Multiple of 96845 and 96860