What is the Greatest Common Factor of 99596 and 99602?

Greatest common factor (GCF) of 99596 and 99602 is 2.

GCF(99596,99602) = 2

We will now calculate the prime factors of 99596 and 99602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99596 and 99602.

How to find the GCF of 99596 and 99602?

We will first find the prime factorization of 99596 and 99602. After we will calculate the factors of 99596 and 99602 and find the biggest common factor number .

Step-1: Prime Factorization of 99596

Prime factors of 99596 are 2, 7, 3557. Prime factorization of 99596 in exponential form is:

99596 = 2² × 7¹ × 3557¹

Step-2: Prime Factorization of 99602

Prime factors of 99602 are 2, 49801. Prime factorization of 99602 in exponential form is:

99602 = 2¹ × 49801¹

Step-3: Factors of 99596

List of positive integer factors of 99596 that divides 99596 without a remainder.

1, 2, 4, 7, 14, 28, 3557, 7114, 14228, 24899, 49798

Step-4: Factors of 99602

List of positive integer factors of 99602 that divides 99596 without a remainder.

1, 2, 49801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99596 and 99602. The biggest common factor number is the GCF number.
So the greatest common factor 99596 and 99602 is 2.

Also check out the Least Common Multiple of 99596 and 99602