What is the Greatest Common Factor of 99700 and 99712?

Greatest common factor (GCF) of 99700 and 99712 is 4.

GCF(99700,99712) = 4

We will now calculate the prime factors of 99700 and 99712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99700 and 99712.

How to find the GCF of 99700 and 99712?

We will first find the prime factorization of 99700 and 99712. After we will calculate the factors of 99700 and 99712 and find the biggest common factor number .

Step-1: Prime Factorization of 99700

Prime factors of 99700 are 2, 5, 997. Prime factorization of 99700 in exponential form is:

99700 = 2² × 5² × 997¹

Step-2: Prime Factorization of 99712

Prime factors of 99712 are 2, 19, 41. Prime factorization of 99712 in exponential form is:

99712 = 2⁷ × 19¹ × 41¹

Step-3: Factors of 99700

List of positive integer factors of 99700 that divides 99700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 997, 1994, 3988, 4985, 9970, 19940, 24925, 49850

Step-4: Factors of 99712

List of positive integer factors of 99712 that divides 99700 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 41, 64, 76, 82, 128, 152, 164, 304, 328, 608, 656, 779, 1216, 1312, 1558, 2432, 2624, 3116, 5248, 6232, 12464, 24928, 49856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99700 and 99712. The biggest common factor number is the GCF number.
So the greatest common factor 99700 and 99712 is 4.

Also check out the Least Common Multiple of 99700 and 99712