What is the Greatest Common Factor of 15490 and 15504?

Greatest common factor (GCF) of 15490 and 15504 is 2.

GCF(15490,15504) = 2

We will now calculate the prime factors of 15490 and 15504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15490 and 15504.

How to find the GCF of 15490 and 15504?

We will first find the prime factorization of 15490 and 15504. After we will calculate the factors of 15490 and 15504 and find the biggest common factor number .

Step-1: Prime Factorization of 15490

Prime factors of 15490 are 2, 5, 1549. Prime factorization of 15490 in exponential form is:

15490 = 2¹ × 5¹ × 1549¹

Step-2: Prime Factorization of 15504

Prime factors of 15504 are 2, 3, 17, 19. Prime factorization of 15504 in exponential form is:

15504 = 2⁴ × 3¹ × 17¹ × 19¹

Step-3: Factors of 15490

List of positive integer factors of 15490 that divides 15490 without a remainder.

1, 2, 5, 10, 1549, 3098, 7745

Step-4: Factors of 15504

List of positive integer factors of 15504 that divides 15490 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 19, 24, 34, 38, 48, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 272, 304, 323, 408, 456, 646, 816, 912, 969, 1292, 1938, 2584, 3876, 5168, 7752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15490 and 15504. The biggest common factor number is the GCF number.
So the greatest common factor 15490 and 15504 is 2.

Also check out the Least Common Multiple of 15490 and 15504