What is the Greatest Common Factor of 16029 and 16048?

Greatest common factor (GCF) of 16029 and 16048 is 1.

GCF(16029,16048) = 1

We will now calculate the prime factors of 16029 and 16048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16029 and 16048.

How to find the GCF of 16029 and 16048?

We will first find the prime factorization of 16029 and 16048. After we will calculate the factors of 16029 and 16048 and find the biggest common factor number .

Step-1: Prime Factorization of 16029

Prime factors of 16029 are 3, 13, 137. Prime factorization of 16029 in exponential form is:

16029 = 3² × 13¹ × 137¹

Step-2: Prime Factorization of 16048

Prime factors of 16048 are 2, 17, 59. Prime factorization of 16048 in exponential form is:

16048 = 2⁴ × 17¹ × 59¹

Step-3: Factors of 16029

List of positive integer factors of 16029 that divides 16029 without a remainder.

1, 3, 9, 13, 39, 117, 137, 411, 1233, 1781, 5343

Step-4: Factors of 16048

List of positive integer factors of 16048 that divides 16029 without a remainder.

1, 2, 4, 8, 16, 17, 34, 59, 68, 118, 136, 236, 272, 472, 944, 1003, 2006, 4012, 8024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16029 and 16048. The biggest common factor number is the GCF number.
So the greatest common factor 16029 and 16048 is 1.

Also check out the Least Common Multiple of 16029 and 16048