What is the Greatest Common Factor of 99603 and 99620?

Greatest common factor (GCF) of 99603 and 99620 is 17.

GCF(99603,99620) = 17

We will now calculate the prime factors of 99603 and 99620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99603 and 99620.

How to find the GCF of 99603 and 99620?

We will first find the prime factorization of 99603 and 99620. After we will calculate the factors of 99603 and 99620 and find the biggest common factor number .

Step-1: Prime Factorization of 99603

Prime factors of 99603 are 3, 7, 17, 31. Prime factorization of 99603 in exponential form is:

99603 = 3³ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 99620

Prime factors of 99620 are 2, 5, 17, 293. Prime factorization of 99620 in exponential form is:

99620 = 2² × 5¹ × 17¹ × 293¹

Step-3: Factors of 99603

List of positive integer factors of 99603 that divides 99603 without a remainder.

1, 3, 7, 9, 17, 21, 27, 31, 51, 63, 93, 119, 153, 189, 217, 279, 357, 459, 527, 651, 837, 1071, 1581, 1953, 3213, 3689, 4743, 5859, 11067, 14229, 33201

Step-4: Factors of 99620

List of positive integer factors of 99620 that divides 99603 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 293, 340, 586, 1172, 1465, 2930, 4981, 5860, 9962, 19924, 24905, 49810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99603 and 99620. The biggest common factor number is the GCF number.
So the greatest common factor 99603 and 99620 is 17.

Also check out the Least Common Multiple of 99603 and 99620