What is the Greatest Common Factor of 51274 and 51291?

Greatest common factor (GCF) of 51274 and 51291 is 1.

GCF(51274,51291) = 1

We will now calculate the prime factors of 51274 and 51291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51274 and 51291.

How to find the GCF of 51274 and 51291?

We will first find the prime factorization of 51274 and 51291. After we will calculate the factors of 51274 and 51291 and find the biggest common factor number .

Step-1: Prime Factorization of 51274

Prime factors of 51274 are 2, 31, 827. Prime factorization of 51274 in exponential form is:

51274 = 2¹ × 31¹ × 827¹

Step-2: Prime Factorization of 51291

Prime factors of 51291 are 3, 41, 139. Prime factorization of 51291 in exponential form is:

51291 = 3² × 41¹ × 139¹

Step-3: Factors of 51274

List of positive integer factors of 51274 that divides 51274 without a remainder.

1, 2, 31, 62, 827, 1654, 25637

Step-4: Factors of 51291

List of positive integer factors of 51291 that divides 51274 without a remainder.

1, 3, 9, 41, 123, 139, 369, 417, 1251, 5699, 17097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51274 and 51291. The biggest common factor number is the GCF number.
So the greatest common factor 51274 and 51291 is 1.

Also check out the Least Common Multiple of 51274 and 51291