What is the Greatest Common Factor of 16049 and 16060?

Greatest common factor (GCF) of 16049 and 16060 is 11.

GCF(16049,16060) = 11

We will now calculate the prime factors of 16049 and 16060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16049 and 16060.

How to find the GCF of 16049 and 16060?

We will first find the prime factorization of 16049 and 16060. After we will calculate the factors of 16049 and 16060 and find the biggest common factor number .

Step-1: Prime Factorization of 16049

Prime factors of 16049 are 11, 1459. Prime factorization of 16049 in exponential form is:

16049 = 11¹ × 1459¹

Step-2: Prime Factorization of 16060

Prime factors of 16060 are 2, 5, 11, 73. Prime factorization of 16060 in exponential form is:

16060 = 2² × 5¹ × 11¹ × 73¹

Step-3: Factors of 16049

List of positive integer factors of 16049 that divides 16049 without a remainder.

1, 11, 1459

Step-4: Factors of 16060

List of positive integer factors of 16060 that divides 16049 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 73, 110, 146, 220, 292, 365, 730, 803, 1460, 1606, 3212, 4015, 8030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16049 and 16060. The biggest common factor number is the GCF number.
So the greatest common factor 16049 and 16060 is 11.

Also check out the Least Common Multiple of 16049 and 16060