What is the Greatest Common Factor of 99498 and 99505?

Greatest common factor (GCF) of 99498 and 99505 is 7.

GCF(99498,99505) = 7

We will now calculate the prime factors of 99498 and 99505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99498 and 99505.

How to find the GCF of 99498 and 99505?

We will first find the prime factorization of 99498 and 99505. After we will calculate the factors of 99498 and 99505 and find the biggest common factor number .

Step-1: Prime Factorization of 99498

Prime factors of 99498 are 2, 3, 7, 23, 103. Prime factorization of 99498 in exponential form is:

99498 = 2¹ × 3¹ × 7¹ × 23¹ × 103¹

Step-2: Prime Factorization of 99505

Prime factors of 99505 are 5, 7, 2843. Prime factorization of 99505 in exponential form is:

99505 = 5¹ × 7¹ × 2843¹

Step-3: Factors of 99498

List of positive integer factors of 99498 that divides 99498 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 103, 138, 161, 206, 309, 322, 483, 618, 721, 966, 1442, 2163, 2369, 4326, 4738, 7107, 14214, 16583, 33166, 49749

Step-4: Factors of 99505

List of positive integer factors of 99505 that divides 99498 without a remainder.

1, 5, 7, 35, 2843, 14215, 19901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99498 and 99505. The biggest common factor number is the GCF number.
So the greatest common factor 99498 and 99505 is 7.

Also check out the Least Common Multiple of 99498 and 99505