What is the Greatest Common Factor of 57288 and 57298?

Greatest common factor (GCF) of 57288 and 57298 is 2.

GCF(57288,57298) = 2

We will now calculate the prime factors of 57288 and 57298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57288 and 57298.

How to find the GCF of 57288 and 57298?

We will first find the prime factorization of 57288 and 57298. After we will calculate the factors of 57288 and 57298 and find the biggest common factor number .

Step-1: Prime Factorization of 57288

Prime factors of 57288 are 2, 3, 7, 11, 31. Prime factorization of 57288 in exponential form is:

57288 = 2³ × 3¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 57298

Prime factors of 57298 are 2, 28649. Prime factorization of 57298 in exponential form is:

57298 = 2¹ × 28649¹

Step-3: Factors of 57288

List of positive integer factors of 57288 that divides 57288 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 31, 33, 42, 44, 56, 62, 66, 77, 84, 88, 93, 124, 132, 154, 168, 186, 217, 231, 248, 264, 308, 341, 372, 434, 462, 616, 651, 682, 744, 868, 924, 1023, 1302, 1364, 1736, 1848, 2046, 2387, 2604, 2728, 4092, 4774, 5208, 7161, 8184, 9548, 14322, 19096, 28644

Step-4: Factors of 57298

List of positive integer factors of 57298 that divides 57288 without a remainder.

1, 2, 28649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57288 and 57298. The biggest common factor number is the GCF number.
So the greatest common factor 57288 and 57298 is 2.

Also check out the Least Common Multiple of 57288 and 57298