What is the Greatest Common Factor of 57387 and 57398?

Greatest common factor (GCF) of 57387 and 57398 is 11.

GCF(57387,57398) = 11

We will now calculate the prime factors of 57387 and 57398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57387 and 57398.

How to find the GCF of 57387 and 57398?

We will first find the prime factorization of 57387 and 57398. After we will calculate the factors of 57387 and 57398 and find the biggest common factor number .

Step-1: Prime Factorization of 57387

Prime factors of 57387 are 3, 11, 37, 47. Prime factorization of 57387 in exponential form is:

57387 = 3¹ × 11¹ × 37¹ × 47¹

Step-2: 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-3: Factors of 57387

List of positive integer factors of 57387 that divides 57387 without a remainder.

1, 3, 11, 33, 37, 47, 111, 141, 407, 517, 1221, 1551, 1739, 5217, 19129

Step-4: Factors of 57398

List of positive integer factors of 57398 that divides 57387 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57387 and 57398. The biggest common factor number is the GCF number.
So the greatest common factor 57387 and 57398 is 11.

Also check out the Least Common Multiple of 57387 and 57398