What is the Greatest Common Factor of 99736 and 99742?

Greatest common factor (GCF) of 99736 and 99742 is 2.

GCF(99736,99742) = 2

We will now calculate the prime factors of 99736 and 99742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99736 and 99742.

How to find the GCF of 99736 and 99742?

We will first find the prime factorization of 99736 and 99742. After we will calculate the factors of 99736 and 99742 and find the biggest common factor number .

Step-1: Prime Factorization of 99736

Prime factors of 99736 are 2, 7, 13, 137. Prime factorization of 99736 in exponential form is:

99736 = 2³ × 7¹ × 13¹ × 137¹

Step-2: Prime Factorization of 99742

Prime factors of 99742 are 2, 49871. Prime factorization of 99742 in exponential form is:

99742 = 2¹ × 49871¹

Step-3: Factors of 99736

List of positive integer factors of 99736 that divides 99736 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 137, 182, 274, 364, 548, 728, 959, 1096, 1781, 1918, 3562, 3836, 7124, 7672, 12467, 14248, 24934, 49868

Step-4: Factors of 99742

List of positive integer factors of 99742 that divides 99736 without a remainder.

1, 2, 49871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99736 and 99742. The biggest common factor number is the GCF number.
So the greatest common factor 99736 and 99742 is 2.

Also check out the Least Common Multiple of 99736 and 99742