What is the Greatest Common Factor of 99702 and 99712?

Greatest common factor (GCF) of 99702 and 99712 is 2.

GCF(99702,99712) = 2

We will now calculate the prime factors of 99702 and 99712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99702 and 99712.

How to find the GCF of 99702 and 99712?

We will first find the prime factorization of 99702 and 99712. After we will calculate the factors of 99702 and 99712 and find the biggest common factor number .

Step-1: Prime Factorization of 99702

Prime factors of 99702 are 2, 3, 29, 191. Prime factorization of 99702 in exponential form is:

99702 = 2¹ × 3² × 29¹ × 191¹

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 99702

List of positive integer factors of 99702 that divides 99702 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 191, 261, 382, 522, 573, 1146, 1719, 3438, 5539, 11078, 16617, 33234, 49851

Step-4: Factors of 99712

List of positive integer factors of 99712 that divides 99702 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 99702 and 99712. The biggest common factor number is the GCF number.
So the greatest common factor 99702 and 99712 is 2.

Also check out the Least Common Multiple of 99702 and 99712