What is the Greatest Common Factor of 99710 and 99723?

Greatest common factor (GCF) of 99710 and 99723 is 13.

GCF(99710,99723) = 13

We will now calculate the prime factors of 99710 and 99723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99710 and 99723.

How to find the GCF of 99710 and 99723?

We will first find the prime factorization of 99710 and 99723. After we will calculate the factors of 99710 and 99723 and find the biggest common factor number .

Step-1: Prime Factorization of 99710

Prime factors of 99710 are 2, 5, 13, 59. Prime factorization of 99710 in exponential form is:

99710 = 2¹ × 5¹ × 13² × 59¹

Step-2: Prime Factorization of 99723

Prime factors of 99723 are 3, 13, 2557. Prime factorization of 99723 in exponential form is:

99723 = 3¹ × 13¹ × 2557¹

Step-3: Factors of 99710

List of positive integer factors of 99710 that divides 99710 without a remainder.

1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 169, 295, 338, 590, 767, 845, 1534, 1690, 3835, 7670, 9971, 19942, 49855

Step-4: Factors of 99723

List of positive integer factors of 99723 that divides 99710 without a remainder.

1, 3, 13, 39, 2557, 7671, 33241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99710 and 99723. The biggest common factor number is the GCF number.
So the greatest common factor 99710 and 99723 is 13.

Also check out the Least Common Multiple of 99710 and 99723