What is the Greatest Common Factor of 16100 and 16107?

Greatest common factor (GCF) of 16100 and 16107 is 7.

GCF(16100,16107) = 7

We will now calculate the prime factors of 16100 and 16107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16100 and 16107.

How to find the GCF of 16100 and 16107?

We will first find the prime factorization of 16100 and 16107. After we will calculate the factors of 16100 and 16107 and find the biggest common factor number .

Step-1: Prime Factorization of 16100

Prime factors of 16100 are 2, 5, 7, 23. Prime factorization of 16100 in exponential form is:

16100 = 2² × 5² × 7¹ × 23¹

Step-2: Prime Factorization of 16107

Prime factors of 16107 are 3, 7, 13, 59. Prime factorization of 16107 in exponential form is:

16107 = 3¹ × 7¹ × 13¹ × 59¹

Step-3: Factors of 16100

List of positive integer factors of 16100 that divides 16100 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92, 100, 115, 140, 161, 175, 230, 322, 350, 460, 575, 644, 700, 805, 1150, 1610, 2300, 3220, 4025, 8050

Step-4: Factors of 16107

List of positive integer factors of 16107 that divides 16100 without a remainder.

1, 3, 7, 13, 21, 39, 59, 91, 177, 273, 413, 767, 1239, 2301, 5369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16100 and 16107. The biggest common factor number is the GCF number.
So the greatest common factor 16100 and 16107 is 7.

Also check out the Least Common Multiple of 16100 and 16107