What is the Greatest Common Factor of 42490 and 42504?

Greatest common factor (GCF) of 42490 and 42504 is 14.

GCF(42490,42504) = 14

We will now calculate the prime factors of 42490 and 42504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42490 and 42504.

How to find the GCF of 42490 and 42504?

We will first find the prime factorization of 42490 and 42504. After we will calculate the factors of 42490 and 42504 and find the biggest common factor number .

Step-1: Prime Factorization of 42490

Prime factors of 42490 are 2, 5, 7, 607. Prime factorization of 42490 in exponential form is:

42490 = 2¹ × 5¹ × 7¹ × 607¹

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 42490

List of positive integer factors of 42490 that divides 42490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 607, 1214, 3035, 4249, 6070, 8498, 21245

Step-4: Factors of 42504

List of positive integer factors of 42504 that divides 42490 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 42490 and 42504. The biggest common factor number is the GCF number.
So the greatest common factor 42490 and 42504 is 14.

Also check out the Least Common Multiple of 42490 and 42504