What is the Greatest Common Factor of 49385 and 49401?

Greatest common factor (GCF) of 49385 and 49401 is 1.

GCF(49385,49401) = 1

We will now calculate the prime factors of 49385 and 49401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49385 and 49401.

How to find the GCF of 49385 and 49401?

We will first find the prime factorization of 49385 and 49401. After we will calculate the factors of 49385 and 49401 and find the biggest common factor number .

Step-1: Prime Factorization of 49385

Prime factors of 49385 are 5, 7, 17, 83. Prime factorization of 49385 in exponential form is:

49385 = 5¹ × 7¹ × 17¹ × 83¹

Step-2: Prime Factorization of 49401

Prime factors of 49401 are 3, 11, 499. Prime factorization of 49401 in exponential form is:

49401 = 3² × 11¹ × 499¹

Step-3: Factors of 49385

List of positive integer factors of 49385 that divides 49385 without a remainder.

1, 5, 7, 17, 35, 83, 85, 119, 415, 581, 595, 1411, 2905, 7055, 9877

Step-4: Factors of 49401

List of positive integer factors of 49401 that divides 49385 without a remainder.

1, 3, 9, 11, 33, 99, 499, 1497, 4491, 5489, 16467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49385 and 49401. The biggest common factor number is the GCF number.
So the greatest common factor 49385 and 49401 is 1.

Also check out the Least Common Multiple of 49385 and 49401