What is the Greatest Common Factor of 16748 and 16758?

Greatest common factor (GCF) of 16748 and 16758 is 2.

GCF(16748,16758) = 2

We will now calculate the prime factors of 16748 and 16758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16748 and 16758.

How to find the GCF of 16748 and 16758?

We will first find the prime factorization of 16748 and 16758. After we will calculate the factors of 16748 and 16758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16758

Prime factors of 16758 are 2, 3, 7, 19. Prime factorization of 16758 in exponential form is:

16758 = 2¹ × 3² × 7² × 19¹

Step-3: Factors of 16748

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

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

Step-4: Factors of 16758

List of positive integer factors of 16758 that divides 16748 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 49, 57, 63, 98, 114, 126, 133, 147, 171, 266, 294, 342, 399, 441, 798, 882, 931, 1197, 1862, 2394, 2793, 5586, 8379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16748 and 16758. The biggest common factor number is the GCF number.
So the greatest common factor 16748 and 16758 is 2.

Also check out the Least Common Multiple of 16748 and 16758