What is the Greatest Common Factor of 16742 and 16748?

Greatest common factor (GCF) of 16742 and 16748 is 2.

GCF(16742,16748) = 2

We will now calculate the prime factors of 16742 and 16748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16742 and 16748.

How to find the GCF of 16742 and 16748?

We will first find the prime factorization of 16742 and 16748. After we will calculate the factors of 16742 and 16748 and find the biggest common factor number .

Step-1: Prime Factorization of 16742

Prime factors of 16742 are 2, 11, 761. Prime factorization of 16742 in exponential form is:

16742 = 2¹ × 11¹ × 761¹

Step-2: Prime Factorization of 16748

Prime factors of 16748 are 2, 53, 79. Prime factorization of 16748 in exponential form is:

16748 = 2² × 53¹ × 79¹

Step-3: Factors of 16742

List of positive integer factors of 16742 that divides 16742 without a remainder.

1, 2, 11, 22, 761, 1522, 8371

Step-4: Factors of 16748

List of positive integer factors of 16748 that divides 16742 without a remainder.

1, 2, 4, 53, 79, 106, 158, 212, 316, 4187, 8374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16742 and 16748. The biggest common factor number is the GCF number.
So the greatest common factor 16742 and 16748 is 2.

Also check out the Least Common Multiple of 16742 and 16748