What is the Greatest Common Factor of 51705 and 51724?

Greatest common factor (GCF) of 51705 and 51724 is 1.

GCF(51705,51724) = 1

We will now calculate the prime factors of 51705 and 51724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51705 and 51724.

How to find the GCF of 51705 and 51724?

We will first find the prime factorization of 51705 and 51724. After we will calculate the factors of 51705 and 51724 and find the biggest common factor number .

Step-1: Prime Factorization of 51705

Prime factors of 51705 are 3, 5, 383. Prime factorization of 51705 in exponential form is:

51705 = 3³ × 5¹ × 383¹

Step-2: Prime Factorization of 51724

Prime factors of 51724 are 2, 67, 193. Prime factorization of 51724 in exponential form is:

51724 = 2² × 67¹ × 193¹

Step-3: Factors of 51705

List of positive integer factors of 51705 that divides 51705 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 383, 1149, 1915, 3447, 5745, 10341, 17235

Step-4: Factors of 51724

List of positive integer factors of 51724 that divides 51705 without a remainder.

1, 2, 4, 67, 134, 193, 268, 386, 772, 12931, 25862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51705 and 51724. The biggest common factor number is the GCF number.
So the greatest common factor 51705 and 51724 is 1.

Also check out the Least Common Multiple of 51705 and 51724