What is the Greatest Common Factor of 49301 and 49319?

Greatest common factor (GCF) of 49301 and 49319 is 1.

GCF(49301,49319) = 1

We will now calculate the prime factors of 49301 and 49319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49301 and 49319.

How to find the GCF of 49301 and 49319?

We will first find the prime factorization of 49301 and 49319. After we will calculate the factors of 49301 and 49319 and find the biggest common factor number .

Step-1: Prime Factorization of 49301

Prime factors of 49301 are 7, 7043. Prime factorization of 49301 in exponential form is:

49301 = 7¹ × 7043¹

Step-2: Prime Factorization of 49319

Prime factors of 49319 are 149, 331. Prime factorization of 49319 in exponential form is:

49319 = 149¹ × 331¹

Step-3: Factors of 49301

List of positive integer factors of 49301 that divides 49301 without a remainder.

1, 7, 7043

Step-4: Factors of 49319

List of positive integer factors of 49319 that divides 49301 without a remainder.

1, 149, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49301 and 49319. The biggest common factor number is the GCF number.
So the greatest common factor 49301 and 49319 is 1.

Also check out the Least Common Multiple of 49301 and 49319