What is the Greatest Common Factor of 49381 and 49394?

Greatest common factor (GCF) of 49381 and 49394 is 1.

GCF(49381,49394) = 1

We will now calculate the prime factors of 49381 and 49394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49381 and 49394.

How to find the GCF of 49381 and 49394?

We will first find the prime factorization of 49381 and 49394. After we will calculate the factors of 49381 and 49394 and find the biggest common factor number .

Step-1: Prime Factorization of 49381

Prime factors of 49381 are 19, 23, 113. Prime factorization of 49381 in exponential form is:

49381 = 19¹ × 23¹ × 113¹

Step-2: Prime Factorization of 49394

Prime factors of 49394 are 2, 24697. Prime factorization of 49394 in exponential form is:

49394 = 2¹ × 24697¹

Step-3: Factors of 49381

List of positive integer factors of 49381 that divides 49381 without a remainder.

1, 19, 23, 113, 437, 2147, 2599

Step-4: Factors of 49394

List of positive integer factors of 49394 that divides 49381 without a remainder.

1, 2, 24697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49381 and 49394. The biggest common factor number is the GCF number.
So the greatest common factor 49381 and 49394 is 1.

Also check out the Least Common Multiple of 49381 and 49394