What is the Greatest Common Factor of 49362 and 49381?

Greatest common factor (GCF) of 49362 and 49381 is 19.

GCF(49362,49381) = 19

We will now calculate the prime factors of 49362 and 49381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49362 and 49381.

How to find the GCF of 49362 and 49381?

We will first find the prime factorization of 49362 and 49381. After we will calculate the factors of 49362 and 49381 and find the biggest common factor number .

Step-1: Prime Factorization of 49362

Prime factors of 49362 are 2, 3, 19, 433. Prime factorization of 49362 in exponential form is:

49362 = 2¹ × 3¹ × 19¹ × 433¹

Step-2: 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-3: Factors of 49362

List of positive integer factors of 49362 that divides 49362 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 433, 866, 1299, 2598, 8227, 16454, 24681

Step-4: Factors of 49381

List of positive integer factors of 49381 that divides 49362 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49362 and 49381. The biggest common factor number is the GCF number.
So the greatest common factor 49362 and 49381 is 19.

Also check out the Least Common Multiple of 49362 and 49381