What is the Greatest Common Factor of 16049 and 16056?

Greatest common factor (GCF) of 16049 and 16056 is 1.

GCF(16049,16056) = 1

We will now calculate the prime factors of 16049 and 16056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16049 and 16056.

How to find the GCF of 16049 and 16056?

We will first find the prime factorization of 16049 and 16056. After we will calculate the factors of 16049 and 16056 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 16056

Prime factors of 16056 are 2, 3, 223. Prime factorization of 16056 in exponential form is:

16056 = 2³ × 3² × 223¹

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 16056

List of positive integer factors of 16056 that divides 16049 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 223, 446, 669, 892, 1338, 1784, 2007, 2676, 4014, 5352, 8028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16049 and 16056. The biggest common factor number is the GCF number.
So the greatest common factor 16049 and 16056 is 1.

Also check out the Least Common Multiple of 16049 and 16056