What is the Greatest Common Factor of 57486 and 57501?

Greatest common factor (GCF) of 57486 and 57501 is 3.

GCF(57486,57501) = 3

We will now calculate the prime factors of 57486 and 57501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57486 and 57501.

How to find the GCF of 57486 and 57501?

We will first find the prime factorization of 57486 and 57501. After we will calculate the factors of 57486 and 57501 and find the biggest common factor number .

Step-1: Prime Factorization of 57486

Prime factors of 57486 are 2, 3, 11, 13, 67. Prime factorization of 57486 in exponential form is:

57486 = 2¹ × 3¹ × 11¹ × 13¹ × 67¹

Step-2: Prime Factorization of 57501

Prime factors of 57501 are 3, 6389. Prime factorization of 57501 in exponential form is:

57501 = 3² × 6389¹

Step-3: Factors of 57486

List of positive integer factors of 57486 that divides 57486 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 67, 78, 134, 143, 201, 286, 402, 429, 737, 858, 871, 1474, 1742, 2211, 2613, 4422, 5226, 9581, 19162, 28743

Step-4: Factors of 57501

List of positive integer factors of 57501 that divides 57486 without a remainder.

1, 3, 9, 6389, 19167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57486 and 57501. The biggest common factor number is the GCF number.
So the greatest common factor 57486 and 57501 is 3.

Also check out the Least Common Multiple of 57486 and 57501