What is the Greatest Common Factor of 99540 and 99558?

Greatest common factor (GCF) of 99540 and 99558 is 18.

GCF(99540,99558) = 18

We will now calculate the prime factors of 99540 and 99558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99540 and 99558.

How to find the GCF of 99540 and 99558?

We will first find the prime factorization of 99540 and 99558. After we will calculate the factors of 99540 and 99558 and find the biggest common factor number .

Step-1: Prime Factorization of 99540

Prime factors of 99540 are 2, 3, 5, 7, 79. Prime factorization of 99540 in exponential form is:

99540 = 2² × 3² × 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 99558

Prime factors of 99558 are 2, 3, 5531. Prime factorization of 99558 in exponential form is:

99558 = 2¹ × 3² × 5531¹

Step-3: Factors of 99540

List of positive integer factors of 99540 that divides 99540 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 79, 84, 90, 105, 126, 140, 158, 180, 210, 237, 252, 315, 316, 395, 420, 474, 553, 630, 711, 790, 948, 1106, 1185, 1260, 1422, 1580, 1659, 2212, 2370, 2765, 2844, 3318, 3555, 4740, 4977, 5530, 6636, 7110, 8295, 9954, 11060, 14220, 16590, 19908, 24885, 33180, 49770

Step-4: Factors of 99558

List of positive integer factors of 99558 that divides 99540 without a remainder.

1, 2, 3, 6, 9, 18, 5531, 11062, 16593, 33186, 49779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99540 and 99558. The biggest common factor number is the GCF number.
So the greatest common factor 99540 and 99558 is 18.

Also check out the Least Common Multiple of 99540 and 99558