What is the Greatest Common Factor of 51712 and 51729?

Greatest common factor (GCF) of 51712 and 51729 is 1.

GCF(51712,51729) = 1

We will now calculate the prime factors of 51712 and 51729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51712 and 51729.

How to find the GCF of 51712 and 51729?

We will first find the prime factorization of 51712 and 51729. After we will calculate the factors of 51712 and 51729 and find the biggest common factor number .

Step-1: Prime Factorization of 51712

Prime factors of 51712 are 2, 101. Prime factorization of 51712 in exponential form is:

51712 = 2⁹ × 101¹

Step-2: Prime Factorization of 51729

Prime factors of 51729 are 3, 43, 401. Prime factorization of 51729 in exponential form is:

51729 = 3¹ × 43¹ × 401¹

Step-3: Factors of 51712

List of positive integer factors of 51712 that divides 51712 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 128, 202, 256, 404, 512, 808, 1616, 3232, 6464, 12928, 25856

Step-4: Factors of 51729

List of positive integer factors of 51729 that divides 51712 without a remainder.

1, 3, 43, 129, 401, 1203, 17243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51712 and 51729. The biggest common factor number is the GCF number.
So the greatest common factor 51712 and 51729 is 1.

Also check out the Least Common Multiple of 51712 and 51729