What is the Greatest Common Factor of 51712 and 51731?

Greatest common factor (GCF) of 51712 and 51731 is 1.

GCF(51712,51731) = 1

We will now calculate the prime factors of 51712 and 51731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51712 and 51731.

How to find the GCF of 51712 and 51731?

We will first find the prime factorization of 51712 and 51731. After we will calculate the factors of 51712 and 51731 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 51731

Prime factors of 51731 are 17, 179. Prime factorization of 51731 in exponential form is:

51731 = 17² × 179¹

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 51731

List of positive integer factors of 51731 that divides 51712 without a remainder.

1, 17, 179, 289, 3043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51712 and 51731. The biggest common factor number is the GCF number.
So the greatest common factor 51712 and 51731 is 1.

Also check out the Least Common Multiple of 51712 and 51731