What is the Greatest Common Factor of 16478 and 16489?

Greatest common factor (GCF) of 16478 and 16489 is 11.

GCF(16478,16489) = 11

We will now calculate the prime factors of 16478 and 16489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16478 and 16489.

How to find the GCF of 16478 and 16489?

We will first find the prime factorization of 16478 and 16489. After we will calculate the factors of 16478 and 16489 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 16489

Prime factors of 16489 are 11, 1499. Prime factorization of 16489 in exponential form is:

16489 = 11¹ × 1499¹

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 16489

List of positive integer factors of 16489 that divides 16478 without a remainder.

1, 11, 1499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16478 and 16489. The biggest common factor number is the GCF number.
So the greatest common factor 16478 and 16489 is 11.

Also check out the Least Common Multiple of 16478 and 16489