What is the Greatest Common Factor of 99712 and 99730?

Greatest common factor (GCF) of 99712 and 99730 is 2.

GCF(99712,99730) = 2

We will now calculate the prime factors of 99712 and 99730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99712 and 99730.

How to find the GCF of 99712 and 99730?

We will first find the prime factorization of 99712 and 99730. After we will calculate the factors of 99712 and 99730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99730

Prime factors of 99730 are 2, 5, 9973. Prime factorization of 99730 in exponential form is:

99730 = 2¹ × 5¹ × 9973¹

Step-3: Factors of 99712

List of positive integer factors of 99712 that divides 99712 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

Step-4: Factors of 99730

List of positive integer factors of 99730 that divides 99712 without a remainder.

1, 2, 5, 10, 9973, 19946, 49865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99712 and 99730. The biggest common factor number is the GCF number.
So the greatest common factor 99712 and 99730 is 2.

Also check out the Least Common Multiple of 99712 and 99730