What is the Greatest Common Factor of 24870 and 24890?

Greatest common factor (GCF) of 24870 and 24890 is 10.

GCF(24870,24890) = 10

We will now calculate the prime factors of 24870 and 24890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24870 and 24890.

How to find the GCF of 24870 and 24890?

We will first find the prime factorization of 24870 and 24890. After we will calculate the factors of 24870 and 24890 and find the biggest common factor number .

Step-1: Prime Factorization of 24870

Prime factors of 24870 are 2, 3, 5, 829. Prime factorization of 24870 in exponential form is:

24870 = 2¹ × 3¹ × 5¹ × 829¹

Step-2: Prime Factorization of 24890

Prime factors of 24890 are 2, 5, 19, 131. Prime factorization of 24890 in exponential form is:

24890 = 2¹ × 5¹ × 19¹ × 131¹

Step-3: Factors of 24870

List of positive integer factors of 24870 that divides 24870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 829, 1658, 2487, 4145, 4974, 8290, 12435

Step-4: Factors of 24890

List of positive integer factors of 24890 that divides 24870 without a remainder.

1, 2, 5, 10, 19, 38, 95, 131, 190, 262, 655, 1310, 2489, 4978, 12445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24870 and 24890. The biggest common factor number is the GCF number.
So the greatest common factor 24870 and 24890 is 10.

Also check out the Least Common Multiple of 24870 and 24890