What is the Greatest Common Factor of 99732 and 99742?

Greatest common factor (GCF) of 99732 and 99742 is 2.

GCF(99732,99742) = 2

We will now calculate the prime factors of 99732 and 99742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99732 and 99742.

How to find the GCF of 99732 and 99742?

We will first find the prime factorization of 99732 and 99742. After we will calculate the factors of 99732 and 99742 and find the biggest common factor number .

Step-1: Prime Factorization of 99732

Prime factors of 99732 are 2, 3, 8311. Prime factorization of 99732 in exponential form is:

99732 = 2² × 3¹ × 8311¹

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 99732

List of positive integer factors of 99732 that divides 99732 without a remainder.

1, 2, 3, 4, 6, 12, 8311, 16622, 24933, 33244, 49866

Step-4: Factors of 99742

List of positive integer factors of 99742 that divides 99732 without a remainder.

1, 2, 49871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99732 and 99742. The biggest common factor number is the GCF number.
So the greatest common factor 99732 and 99742 is 2.

Also check out the Least Common Multiple of 99732 and 99742