What is the Greatest Common Factor of 99712 and 99729?

Greatest common factor (GCF) of 99712 and 99729 is 1.

GCF(99712,99729) = 1

We will now calculate the prime factors of 99712 and 99729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99712 and 99729.

How to find the GCF of 99712 and 99729?

We will first find the prime factorization of 99712 and 99729. After we will calculate the factors of 99712 and 99729 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 99729

Prime factors of 99729 are 3, 7, 1583. Prime factorization of 99729 in exponential form is:

99729 = 3² × 7¹ × 1583¹

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 99729

List of positive integer factors of 99729 that divides 99712 without a remainder.

1, 3, 7, 9, 21, 63, 1583, 4749, 11081, 14247, 33243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99712 and 99729. The biggest common factor number is the GCF number.
So the greatest common factor 99712 and 99729 is 1.

Also check out the Least Common Multiple of 99712 and 99729