What is the Greatest Common Factor of 51267 and 51274?

Greatest common factor (GCF) of 51267 and 51274 is 1.

GCF(51267,51274) = 1

We will now calculate the prime factors of 51267 and 51274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51267 and 51274.

How to find the GCF of 51267 and 51274?

We will first find the prime factorization of 51267 and 51274. After we will calculate the factors of 51267 and 51274 and find the biggest common factor number .

Step-1: Prime Factorization of 51267

Prime factors of 51267 are 3, 23, 743. Prime factorization of 51267 in exponential form is:

51267 = 3¹ × 23¹ × 743¹

Step-2: 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-3: Factors of 51267

List of positive integer factors of 51267 that divides 51267 without a remainder.

1, 3, 23, 69, 743, 2229, 17089

Step-4: Factors of 51274

List of positive integer factors of 51274 that divides 51267 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51267 and 51274. The biggest common factor number is the GCF number.
So the greatest common factor 51267 and 51274 is 1.

Also check out the Least Common Multiple of 51267 and 51274