What is the Greatest Common Factor of 96936 and 96950?

Greatest common factor (GCF) of 96936 and 96950 is 14.

GCF(96936,96950) = 14

We will now calculate the prime factors of 96936 and 96950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96936 and 96950.

How to find the GCF of 96936 and 96950?

We will first find the prime factorization of 96936 and 96950. After we will calculate the factors of 96936 and 96950 and find the biggest common factor number .

Step-1: Prime Factorization of 96936

Prime factors of 96936 are 2, 3, 7, 577. Prime factorization of 96936 in exponential form is:

96936 = 2³ × 3¹ × 7¹ × 577¹

Step-2: Prime Factorization of 96950

Prime factors of 96950 are 2, 5, 7, 277. Prime factorization of 96950 in exponential form is:

96950 = 2¹ × 5² × 7¹ × 277¹

Step-3: Factors of 96936

List of positive integer factors of 96936 that divides 96936 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 577, 1154, 1731, 2308, 3462, 4039, 4616, 6924, 8078, 12117, 13848, 16156, 24234, 32312, 48468

Step-4: Factors of 96950

List of positive integer factors of 96950 that divides 96936 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 277, 350, 554, 1385, 1939, 2770, 3878, 6925, 9695, 13850, 19390, 48475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96936 and 96950. The biggest common factor number is the GCF number.
So the greatest common factor 96936 and 96950 is 14.

Also check out the Least Common Multiple of 96936 and 96950