What is the Greatest Common Factor of 51245 and 51263?

Greatest common factor (GCF) of 51245 and 51263 is 1.

GCF(51245,51263) = 1

We will now calculate the prime factors of 51245 and 51263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51245 and 51263.

How to find the GCF of 51245 and 51263?

We will first find the prime factorization of 51245 and 51263. After we will calculate the factors of 51245 and 51263 and find the biggest common factor number .

Step-1: Prime Factorization of 51245

Prime factors of 51245 are 5, 37, 277. Prime factorization of 51245 in exponential form is:

51245 = 5¹ × 37¹ × 277¹

Step-2: Prime Factorization of 51263

Prime factors of 51263 are 51263. Prime factorization of 51263 in exponential form is:

51263 = 51263¹

Step-3: Factors of 51245

List of positive integer factors of 51245 that divides 51245 without a remainder.

1, 5, 37, 185, 277, 1385, 10249

Step-4: Factors of 51263

List of positive integer factors of 51263 that divides 51245 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51245 and 51263. The biggest common factor number is the GCF number.
So the greatest common factor 51245 and 51263 is 1.

Also check out the Least Common Multiple of 51245 and 51263