What is the Greatest Common Factor of 99498 and 99502?

Greatest common factor (GCF) of 99498 and 99502 is 2.

GCF(99498,99502) = 2

We will now calculate the prime factors of 99498 and 99502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99498 and 99502.

How to find the GCF of 99498 and 99502?

We will first find the prime factorization of 99498 and 99502. After we will calculate the factors of 99498 and 99502 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 99502

Prime factors of 99502 are 2, 13, 43, 89. Prime factorization of 99502 in exponential form is:

99502 = 2¹ × 13¹ × 43¹ × 89¹

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 99502

List of positive integer factors of 99502 that divides 99498 without a remainder.

1, 2, 13, 26, 43, 86, 89, 178, 559, 1118, 1157, 2314, 3827, 7654, 49751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99498 and 99502. The biggest common factor number is the GCF number.
So the greatest common factor 99498 and 99502 is 2.

Also check out the Least Common Multiple of 99498 and 99502