What is the Greatest Common Factor of 16478 and 16492?

Greatest common factor (GCF) of 16478 and 16492 is 14.

GCF(16478,16492) = 14

We will now calculate the prime factors of 16478 and 16492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16478 and 16492.

How to find the GCF of 16478 and 16492?

We will first find the prime factorization of 16478 and 16492. After we will calculate the factors of 16478 and 16492 and find the biggest common factor number .

Step-1: Prime Factorization of 16478

Prime factors of 16478 are 2, 7, 11, 107. Prime factorization of 16478 in exponential form is:

16478 = 2¹ × 7¹ × 11¹ × 107¹

Step-2: Prime Factorization of 16492

Prime factors of 16492 are 2, 7, 19, 31. Prime factorization of 16492 in exponential form is:

16492 = 2² × 7¹ × 19¹ × 31¹

Step-3: Factors of 16478

List of positive integer factors of 16478 that divides 16478 without a remainder.

1, 2, 7, 11, 14, 22, 77, 107, 154, 214, 749, 1177, 1498, 2354, 8239

Step-4: Factors of 16492

List of positive integer factors of 16492 that divides 16478 without a remainder.

1, 2, 4, 7, 14, 19, 28, 31, 38, 62, 76, 124, 133, 217, 266, 434, 532, 589, 868, 1178, 2356, 4123, 8246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16478 and 16492. The biggest common factor number is the GCF number.
So the greatest common factor 16478 and 16492 is 14.

Also check out the Least Common Multiple of 16478 and 16492