What is the Greatest Common Factor of 99478 and 99498?

Greatest common factor (GCF) of 99478 and 99498 is 2.

GCF(99478,99498) = 2

We will now calculate the prime factors of 99478 and 99498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99478 and 99498.

How to find the GCF of 99478 and 99498?

We will first find the prime factorization of 99478 and 99498. After we will calculate the factors of 99478 and 99498 and find the biggest common factor number .

Step-1: Prime Factorization of 99478

Prime factors of 99478 are 2, 49739. Prime factorization of 99478 in exponential form is:

99478 = 2¹ × 49739¹

Step-2: 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-3: Factors of 99478

List of positive integer factors of 99478 that divides 99478 without a remainder.

1, 2, 49739

Step-4: Factors of 99498

List of positive integer factors of 99498 that divides 99478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99478 and 99498. The biggest common factor number is the GCF number.
So the greatest common factor 99478 and 99498 is 2.

Also check out the Least Common Multiple of 99478 and 99498