What is the Greatest Common Factor of 96902 and 96915?

Greatest common factor (GCF) of 96902 and 96915 is 13.

GCF(96902,96915) = 13

We will now calculate the prime factors of 96902 and 96915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96902 and 96915.

How to find the GCF of 96902 and 96915?

We will first find the prime factorization of 96902 and 96915. After we will calculate the factors of 96902 and 96915 and find the biggest common factor number .

Step-1: Prime Factorization of 96902

Prime factors of 96902 are 2, 13, 3727. Prime factorization of 96902 in exponential form is:

96902 = 2¹ × 13¹ × 3727¹

Step-2: 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-3: Factors of 96902

List of positive integer factors of 96902 that divides 96902 without a remainder.

1, 2, 13, 26, 3727, 7454, 48451

Step-4: Factors of 96915

List of positive integer factors of 96915 that divides 96902 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96902 and 96915. The biggest common factor number is the GCF number.
So the greatest common factor 96902 and 96915 is 13.

Also check out the Least Common Multiple of 96902 and 96915