What is the Greatest Common Factor of 49340 and 49351?

Greatest common factor (GCF) of 49340 and 49351 is 1.

GCF(49340,49351) = 1

We will now calculate the prime factors of 49340 and 49351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49340 and 49351.

How to find the GCF of 49340 and 49351?

We will first find the prime factorization of 49340 and 49351. After we will calculate the factors of 49340 and 49351 and find the biggest common factor number .

Step-1: Prime Factorization of 49340

Prime factors of 49340 are 2, 5, 2467. Prime factorization of 49340 in exponential form is:

49340 = 2² × 5¹ × 2467¹

Step-2: Prime Factorization of 49351

Prime factors of 49351 are 17, 2903. Prime factorization of 49351 in exponential form is:

49351 = 17¹ × 2903¹

Step-3: Factors of 49340

List of positive integer factors of 49340 that divides 49340 without a remainder.

1, 2, 4, 5, 10, 20, 2467, 4934, 9868, 12335, 24670

Step-4: Factors of 49351

List of positive integer factors of 49351 that divides 49340 without a remainder.

1, 17, 2903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49340 and 49351. The biggest common factor number is the GCF number.
So the greatest common factor 49340 and 49351 is 1.

Also check out the Least Common Multiple of 49340 and 49351