What is the Greatest Common Factor of 24490 and 24504?

Greatest common factor (GCF) of 24490 and 24504 is 2.

GCF(24490,24504) = 2

We will now calculate the prime factors of 24490 and 24504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24490 and 24504.

How to find the GCF of 24490 and 24504?

We will first find the prime factorization of 24490 and 24504. After we will calculate the factors of 24490 and 24504 and find the biggest common factor number .

Step-1: Prime Factorization of 24490

Prime factors of 24490 are 2, 5, 31, 79. Prime factorization of 24490 in exponential form is:

24490 = 2¹ × 5¹ × 31¹ × 79¹

Step-2: Prime Factorization of 24504

Prime factors of 24504 are 2, 3, 1021. Prime factorization of 24504 in exponential form is:

24504 = 2³ × 3¹ × 1021¹

Step-3: Factors of 24490

List of positive integer factors of 24490 that divides 24490 without a remainder.

1, 2, 5, 10, 31, 62, 79, 155, 158, 310, 395, 790, 2449, 4898, 12245

Step-4: Factors of 24504

List of positive integer factors of 24504 that divides 24490 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1021, 2042, 3063, 4084, 6126, 8168, 12252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24490 and 24504. The biggest common factor number is the GCF number.
So the greatest common factor 24490 and 24504 is 2.

Also check out the Least Common Multiple of 24490 and 24504