What is the Greatest Common Factor of 16345 and 16352?

Greatest common factor (GCF) of 16345 and 16352 is 7.

GCF(16345,16352) = 7

We will now calculate the prime factors of 16345 and 16352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16345 and 16352.

How to find the GCF of 16345 and 16352?

We will first find the prime factorization of 16345 and 16352. After we will calculate the factors of 16345 and 16352 and find the biggest common factor number .

Step-1: Prime Factorization of 16345

Prime factors of 16345 are 5, 7, 467. Prime factorization of 16345 in exponential form is:

16345 = 5¹ × 7¹ × 467¹

Step-2: Prime Factorization of 16352

Prime factors of 16352 are 2, 7, 73. Prime factorization of 16352 in exponential form is:

16352 = 2⁵ × 7¹ × 73¹

Step-3: Factors of 16345

List of positive integer factors of 16345 that divides 16345 without a remainder.

1, 5, 7, 35, 467, 2335, 3269

Step-4: Factors of 16352

List of positive integer factors of 16352 that divides 16345 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 73, 112, 146, 224, 292, 511, 584, 1022, 1168, 2044, 2336, 4088, 8176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16345 and 16352. The biggest common factor number is the GCF number.
So the greatest common factor 16345 and 16352 is 7.

Also check out the Least Common Multiple of 16345 and 16352