What is the Greatest Common Factor of 16416 and 16435?

Greatest common factor (GCF) of 16416 and 16435 is 19.

GCF(16416,16435) = 19

We will now calculate the prime factors of 16416 and 16435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16416 and 16435.

How to find the GCF of 16416 and 16435?

We will first find the prime factorization of 16416 and 16435. After we will calculate the factors of 16416 and 16435 and find the biggest common factor number .

Step-1: Prime Factorization of 16416

Prime factors of 16416 are 2, 3, 19. Prime factorization of 16416 in exponential form is:

16416 = 2⁵ × 3³ × 19¹

Step-2: Prime Factorization of 16435

Prime factors of 16435 are 5, 19, 173. Prime factorization of 16435 in exponential form is:

16435 = 5¹ × 19¹ × 173¹

Step-3: Factors of 16416

List of positive integer factors of 16416 that divides 16416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 72, 76, 96, 108, 114, 144, 152, 171, 216, 228, 288, 304, 342, 432, 456, 513, 608, 684, 864, 912, 1026, 1368, 1824, 2052, 2736, 4104, 5472, 8208

Step-4: Factors of 16435

List of positive integer factors of 16435 that divides 16416 without a remainder.

1, 5, 19, 95, 173, 865, 3287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16416 and 16435. The biggest common factor number is the GCF number.
So the greatest common factor 16416 and 16435 is 19.

Also check out the Least Common Multiple of 16416 and 16435