What is the Greatest Common Factor of 42504 and 42514?

Greatest common factor (GCF) of 42504 and 42514 is 2.

GCF(42504,42514) = 2

We will now calculate the prime factors of 42504 and 42514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42504 and 42514.

How to find the GCF of 42504 and 42514?

We will first find the prime factorization of 42504 and 42514. After we will calculate the factors of 42504 and 42514 and find the biggest common factor number .

Step-1: Prime Factorization of 42504

Prime factors of 42504 are 2, 3, 7, 11, 23. Prime factorization of 42504 in exponential form is:

42504 = 2³ × 3¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 42514

Prime factors of 42514 are 2, 29, 733. Prime factorization of 42514 in exponential form is:

42514 = 2¹ × 29¹ × 733¹

Step-3: Factors of 42504

List of positive integer factors of 42504 that divides 42504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 23, 24, 28, 33, 42, 44, 46, 56, 66, 69, 77, 84, 88, 92, 132, 138, 154, 161, 168, 184, 231, 253, 264, 276, 308, 322, 462, 483, 506, 552, 616, 644, 759, 924, 966, 1012, 1288, 1518, 1771, 1848, 1932, 2024, 3036, 3542, 3864, 5313, 6072, 7084, 10626, 14168, 21252

Step-4: Factors of 42514

List of positive integer factors of 42514 that divides 42504 without a remainder.

1, 2, 29, 58, 733, 1466, 21257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42504 and 42514. The biggest common factor number is the GCF number.
So the greatest common factor 42504 and 42514 is 2.

Also check out the Least Common Multiple of 42504 and 42514