What is the Greatest Common Factor of 96915 and 96922?

Greatest common factor (GCF) of 96915 and 96922 is 7.

GCF(96915,96922) = 7

We will now calculate the prime factors of 96915 and 96922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96915 and 96922.

How to find the GCF of 96915 and 96922?

We will first find the prime factorization of 96915 and 96922. After we will calculate the factors of 96915 and 96922 and find the biggest common factor number .

Step-1: Prime Factorization of 96915

Prime factors of 96915 are 3, 5, 7, 13, 71. Prime factorization of 96915 in exponential form is:

96915 = 3¹ × 5¹ × 7¹ × 13¹ × 71¹

Step-2: Prime Factorization of 96922

Prime factors of 96922 are 2, 7, 23, 43. Prime factorization of 96922 in exponential form is:

96922 = 2¹ × 7² × 23¹ × 43¹

Step-3: Factors of 96915

List of positive integer factors of 96915 that divides 96915 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 71, 91, 105, 195, 213, 273, 355, 455, 497, 923, 1065, 1365, 1491, 2485, 2769, 4615, 6461, 7455, 13845, 19383, 32305

Step-4: Factors of 96922

List of positive integer factors of 96922 that divides 96915 without a remainder.

1, 2, 7, 14, 23, 43, 46, 49, 86, 98, 161, 301, 322, 602, 989, 1127, 1978, 2107, 2254, 4214, 6923, 13846, 48461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96915 and 96922. The biggest common factor number is the GCF number.
So the greatest common factor 96915 and 96922 is 7.

Also check out the Least Common Multiple of 96915 and 96922