What is the Greatest Common Factor of 57398 and 57405?

Greatest common factor (GCF) of 57398 and 57405 is 1.

GCF(57398,57405) = 1

We will now calculate the prime factors of 57398 and 57405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57398 and 57405.

How to find the GCF of 57398 and 57405?

We will first find the prime factorization of 57398 and 57405. After we will calculate the factors of 57398 and 57405 and find the biggest common factor number .

Step-1: Prime Factorization of 57398

Prime factors of 57398 are 2, 11, 2609. Prime factorization of 57398 in exponential form is:

57398 = 2¹ × 11¹ × 2609¹

Step-2: Prime Factorization of 57405

Prime factors of 57405 are 3, 5, 43, 89. Prime factorization of 57405 in exponential form is:

57405 = 3¹ × 5¹ × 43¹ × 89¹

Step-3: Factors of 57398

List of positive integer factors of 57398 that divides 57398 without a remainder.

1, 2, 11, 22, 2609, 5218, 28699

Step-4: Factors of 57405

List of positive integer factors of 57405 that divides 57398 without a remainder.

1, 3, 5, 15, 43, 89, 129, 215, 267, 445, 645, 1335, 3827, 11481, 19135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57398 and 57405. The biggest common factor number is the GCF number.
So the greatest common factor 57398 and 57405 is 1.

Also check out the Least Common Multiple of 57398 and 57405