What is the Greatest Common Factor of 57274 and 57288?

Greatest common factor (GCF) of 57274 and 57288 is 14.

GCF(57274,57288) = 14

We will now calculate the prime factors of 57274 and 57288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57274 and 57288.

How to find the GCF of 57274 and 57288?

We will first find the prime factorization of 57274 and 57288. After we will calculate the factors of 57274 and 57288 and find the biggest common factor number .

Step-1: Prime Factorization of 57274

Prime factors of 57274 are 2, 7, 4091. Prime factorization of 57274 in exponential form is:

57274 = 2¹ × 7¹ × 4091¹

Step-2: 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-3: Factors of 57274

List of positive integer factors of 57274 that divides 57274 without a remainder.

1, 2, 7, 14, 4091, 8182, 28637

Step-4: Factors of 57288

List of positive integer factors of 57288 that divides 57274 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57274 and 57288. The biggest common factor number is the GCF number.
So the greatest common factor 57274 and 57288 is 14.

Also check out the Least Common Multiple of 57274 and 57288