What is the Greatest Common Factor of 96845 and 96852?

Greatest common factor (GCF) of 96845 and 96852 is 7.

GCF(96845,96852) = 7

We will now calculate the prime factors of 96845 and 96852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96845 and 96852.

How to find the GCF of 96845 and 96852?

We will first find the prime factorization of 96845 and 96852. After we will calculate the factors of 96845 and 96852 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 96852

Prime factors of 96852 are 2, 3, 7, 1153. Prime factorization of 96852 in exponential form is:

96852 = 2² × 3¹ × 7¹ × 1153¹

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 96852

List of positive integer factors of 96852 that divides 96845 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1153, 2306, 3459, 4612, 6918, 8071, 13836, 16142, 24213, 32284, 48426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96845 and 96852. The biggest common factor number is the GCF number.
So the greatest common factor 96845 and 96852 is 7.

Also check out the Least Common Multiple of 96845 and 96852