What is the Greatest Common Factor of 57473 and 57486?

Greatest common factor (GCF) of 57473 and 57486 is 13.

GCF(57473,57486) = 13

We will now calculate the prime factors of 57473 and 57486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57473 and 57486.

How to find the GCF of 57473 and 57486?

We will first find the prime factorization of 57473 and 57486. After we will calculate the factors of 57473 and 57486 and find the biggest common factor number .

Step-1: Prime Factorization of 57473

Prime factors of 57473 are 13, 4421. Prime factorization of 57473 in exponential form is:

57473 = 13¹ × 4421¹

Step-2: 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-3: Factors of 57473

List of positive integer factors of 57473 that divides 57473 without a remainder.

1, 13, 4421

Step-4: Factors of 57486

List of positive integer factors of 57486 that divides 57473 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57473 and 57486. The biggest common factor number is the GCF number.
So the greatest common factor 57473 and 57486 is 13.

Also check out the Least Common Multiple of 57473 and 57486