What is the Greatest Common Factor of 20416 and 20429?

Greatest common factor (GCF) of 20416 and 20429 is 1.

GCF(20416,20429) = 1

We will now calculate the prime factors of 20416 and 20429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20416 and 20429.

How to find the GCF of 20416 and 20429?

We will first find the prime factorization of 20416 and 20429. After we will calculate the factors of 20416 and 20429 and find the biggest common factor number .

Step-1: Prime Factorization of 20416

Prime factors of 20416 are 2, 11, 29. Prime factorization of 20416 in exponential form is:

20416 = 2⁶ × 11¹ × 29¹

Step-2: Prime Factorization of 20429

Prime factors of 20429 are 31, 659. Prime factorization of 20429 in exponential form is:

20429 = 31¹ × 659¹

Step-3: Factors of 20416

List of positive integer factors of 20416 that divides 20416 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 64, 88, 116, 176, 232, 319, 352, 464, 638, 704, 928, 1276, 1856, 2552, 5104, 10208

Step-4: Factors of 20429

List of positive integer factors of 20429 that divides 20416 without a remainder.

1, 31, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20416 and 20429. The biggest common factor number is the GCF number.
So the greatest common factor 20416 and 20429 is 1.

Also check out the Least Common Multiple of 20416 and 20429