What is the Greatest Common Factor of 24890 and 24910?

Greatest common factor (GCF) of 24890 and 24910 is 10.

GCF(24890,24910) = 10

We will now calculate the prime factors of 24890 and 24910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24890 and 24910.

How to find the GCF of 24890 and 24910?

We will first find the prime factorization of 24890 and 24910. After we will calculate the factors of 24890 and 24910 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24910

Prime factors of 24910 are 2, 5, 47, 53. Prime factorization of 24910 in exponential form is:

24910 = 2¹ × 5¹ × 47¹ × 53¹

Step-3: Factors of 24890

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

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

Step-4: Factors of 24910

List of positive integer factors of 24910 that divides 24890 without a remainder.

1, 2, 5, 10, 47, 53, 94, 106, 235, 265, 470, 530, 2491, 4982, 12455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24890 and 24910. The biggest common factor number is the GCF number.
So the greatest common factor 24890 and 24910 is 10.

Also check out the Least Common Multiple of 24890 and 24910