What is the Greatest Common Factor of 57486 and 57496?

Greatest common factor (GCF) of 57486 and 57496 is 2.

GCF(57486,57496) = 2

We will now calculate the prime factors of 57486 and 57496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57486 and 57496.

How to find the GCF of 57486 and 57496?

We will first find the prime factorization of 57486 and 57496. After we will calculate the factors of 57486 and 57496 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 57496

Prime factors of 57496 are 2, 7187. Prime factorization of 57496 in exponential form is:

57496 = 2³ × 7187¹

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 57496

List of positive integer factors of 57496 that divides 57486 without a remainder.

1, 2, 4, 8, 7187, 14374, 28748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57486 and 57496. The biggest common factor number is the GCF number.
So the greatest common factor 57486 and 57496 is 2.

Also check out the Least Common Multiple of 57486 and 57496