What is the Greatest Common Factor of 49259 and 49273?

Greatest common factor (GCF) of 49259 and 49273 is 7.

GCF(49259,49273) = 7

We will now calculate the prime factors of 49259 and 49273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49259 and 49273.

How to find the GCF of 49259 and 49273?

We will first find the prime factorization of 49259 and 49273. After we will calculate the factors of 49259 and 49273 and find the biggest common factor number .

Step-1: Prime Factorization of 49259

Prime factors of 49259 are 7, 31, 227. Prime factorization of 49259 in exponential form is:

49259 = 7¹ × 31¹ × 227¹

Step-2: Prime Factorization of 49273

Prime factors of 49273 are 7, 7039. Prime factorization of 49273 in exponential form is:

49273 = 7¹ × 7039¹

Step-3: Factors of 49259

List of positive integer factors of 49259 that divides 49259 without a remainder.

1, 7, 31, 217, 227, 1589, 7037

Step-4: Factors of 49273

List of positive integer factors of 49273 that divides 49259 without a remainder.

1, 7, 7039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49259 and 49273. The biggest common factor number is the GCF number.
So the greatest common factor 49259 and 49273 is 7.

Also check out the Least Common Multiple of 49259 and 49273