What is the Greatest Common Factor of 16042 and 16060?

Greatest common factor (GCF) of 16042 and 16060 is 2.

GCF(16042,16060) = 2

We will now calculate the prime factors of 16042 and 16060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16042 and 16060.

How to find the GCF of 16042 and 16060?

We will first find the prime factorization of 16042 and 16060. After we will calculate the factors of 16042 and 16060 and find the biggest common factor number .

Step-1: Prime Factorization of 16042

Prime factors of 16042 are 2, 13, 617. Prime factorization of 16042 in exponential form is:

16042 = 2¹ × 13¹ × 617¹

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 16042

List of positive integer factors of 16042 that divides 16042 without a remainder.

1, 2, 13, 26, 617, 1234, 8021

Step-4: Factors of 16060

List of positive integer factors of 16060 that divides 16042 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 16042 and 16060. The biggest common factor number is the GCF number.
So the greatest common factor 16042 and 16060 is 2.

Also check out the Least Common Multiple of 16042 and 16060