What is the Greatest Common Factor of 51749 and 51759?

Greatest common factor (GCF) of 51749 and 51759 is 1.

GCF(51749,51759) = 1

We will now calculate the prime factors of 51749 and 51759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51749 and 51759.

How to find the GCF of 51749 and 51759?

We will first find the prime factorization of 51749 and 51759. After we will calculate the factors of 51749 and 51759 and find the biggest common factor number .

Step-1: Prime Factorization of 51749

Prime factors of 51749 are 51749. Prime factorization of 51749 in exponential form is:

51749 = 51749¹

Step-2: Prime Factorization of 51759

Prime factors of 51759 are 3, 71. Prime factorization of 51759 in exponential form is:

51759 = 3⁶ × 71¹

Step-3: Factors of 51749

List of positive integer factors of 51749 that divides 51749 without a remainder.

Step-4: Factors of 51759

List of positive integer factors of 51759 that divides 51749 without a remainder.

1, 3, 9, 27, 71, 81, 213, 243, 639, 729, 1917, 5751, 17253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51749 and 51759. The biggest common factor number is the GCF number.
So the greatest common factor 51749 and 51759 is 1.

Also check out the Least Common Multiple of 51749 and 51759