What is the Greatest Common Factor of 96696 and 96700?

Greatest common factor (GCF) of 96696 and 96700 is 4.

GCF(96696,96700) = 4

We will now calculate the prime factors of 96696 and 96700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96696 and 96700.

How to find the GCF of 96696 and 96700?

We will first find the prime factorization of 96696 and 96700. After we will calculate the factors of 96696 and 96700 and find the biggest common factor number .

Step-1: Prime Factorization of 96696

Prime factors of 96696 are 2, 3, 17, 79. Prime factorization of 96696 in exponential form is:

96696 = 2³ × 3² × 17¹ × 79¹

Step-2: Prime Factorization of 96700

Prime factors of 96700 are 2, 5, 967. Prime factorization of 96700 in exponential form is:

96700 = 2² × 5² × 967¹

Step-3: Factors of 96696

List of positive integer factors of 96696 that divides 96696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 79, 102, 136, 153, 158, 204, 237, 306, 316, 408, 474, 612, 632, 711, 948, 1224, 1343, 1422, 1896, 2686, 2844, 4029, 5372, 5688, 8058, 10744, 12087, 16116, 24174, 32232, 48348

Step-4: Factors of 96700

List of positive integer factors of 96700 that divides 96696 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 967, 1934, 3868, 4835, 9670, 19340, 24175, 48350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96696 and 96700. The biggest common factor number is the GCF number.
So the greatest common factor 96696 and 96700 is 4.

Also check out the Least Common Multiple of 96696 and 96700