What is the Greatest Common Factor of 42492 and 42504?

Greatest common factor (GCF) of 42492 and 42504 is 12.

GCF(42492,42504) = 12

We will now calculate the prime factors of 42492 and 42504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42492 and 42504.

How to find the GCF of 42492 and 42504?

We will first find the prime factorization of 42492 and 42504. After we will calculate the factors of 42492 and 42504 and find the biggest common factor number .

Step-1: Prime Factorization of 42492

Prime factors of 42492 are 2, 3, 3541. Prime factorization of 42492 in exponential form is:

42492 = 2² × 3¹ × 3541¹

Step-2: 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-3: Factors of 42492

List of positive integer factors of 42492 that divides 42492 without a remainder.

1, 2, 3, 4, 6, 12, 3541, 7082, 10623, 14164, 21246

Step-4: Factors of 42504

List of positive integer factors of 42504 that divides 42492 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42492 and 42504. The biggest common factor number is the GCF number.
So the greatest common factor 42492 and 42504 is 12.

Also check out the Least Common Multiple of 42492 and 42504