What is the Greatest Common Factor of 99109 and 99120?

Greatest common factor (GCF) of 99109 and 99120 is 1.

GCF(99109,99120) = 1

We will now calculate the prime factors of 99109 and 99120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99109 and 99120.

How to find the GCF of 99109 and 99120?

We will first find the prime factorization of 99109 and 99120. After we will calculate the factors of 99109 and 99120 and find the biggest common factor number .

Step-1: Prime Factorization of 99109

Prime factors of 99109 are 99109. Prime factorization of 99109 in exponential form is:

99109 = 99109¹

Step-2: Prime Factorization of 99120

Prime factors of 99120 are 2, 3, 5, 7, 59. Prime factorization of 99120 in exponential form is:

99120 = 2⁴ × 3¹ × 5¹ × 7¹ × 59¹

Step-3: Factors of 99109

List of positive integer factors of 99109 that divides 99109 without a remainder.

Step-4: Factors of 99120

List of positive integer factors of 99120 that divides 99109 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 59, 60, 70, 80, 84, 105, 112, 118, 120, 140, 168, 177, 210, 236, 240, 280, 295, 336, 354, 413, 420, 472, 560, 590, 708, 826, 840, 885, 944, 1180, 1239, 1416, 1652, 1680, 1770, 2065, 2360, 2478, 2832, 3304, 3540, 4130, 4720, 4956, 6195, 6608, 7080, 8260, 9912, 12390, 14160, 16520, 19824, 24780, 33040, 49560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99109 and 99120. The biggest common factor number is the GCF number.
So the greatest common factor 99109 and 99120 is 1.

Also check out the Least Common Multiple of 99109 and 99120