What is the Greatest Common Factor of 42504 and 42512?

Greatest common factor (GCF) of 42504 and 42512 is 8.

GCF(42504,42512) = 8

We will now calculate the prime factors of 42504 and 42512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42504 and 42512.

How to find the GCF of 42504 and 42512?

We will first find the prime factorization of 42504 and 42512. After we will calculate the factors of 42504 and 42512 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 42512

Prime factors of 42512 are 2, 2657. Prime factorization of 42512 in exponential form is:

42512 = 2⁴ × 2657¹

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 42512

List of positive integer factors of 42512 that divides 42504 without a remainder.

1, 2, 4, 8, 16, 2657, 5314, 10628, 21256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42504 and 42512. The biggest common factor number is the GCF number.
So the greatest common factor 42504 and 42512 is 8.

Also check out the Least Common Multiple of 42504 and 42512