What is the Greatest Common Factor of 24680 and 24690?

Greatest common factor (GCF) of 24680 and 24690 is 10.

GCF(24680,24690) = 10

We will now calculate the prime factors of 24680 and 24690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24680 and 24690.

How to find the GCF of 24680 and 24690?

We will first find the prime factorization of 24680 and 24690. After we will calculate the factors of 24680 and 24690 and find the biggest common factor number .

Step-1: Prime Factorization of 24680

Prime factors of 24680 are 2, 5, 617. Prime factorization of 24680 in exponential form is:

24680 = 2³ × 5¹ × 617¹

Step-2: Prime Factorization of 24690

Prime factors of 24690 are 2, 3, 5, 823. Prime factorization of 24690 in exponential form is:

24690 = 2¹ × 3¹ × 5¹ × 823¹

Step-3: Factors of 24680

List of positive integer factors of 24680 that divides 24680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 617, 1234, 2468, 3085, 4936, 6170, 12340

Step-4: Factors of 24690

List of positive integer factors of 24690 that divides 24680 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 823, 1646, 2469, 4115, 4938, 8230, 12345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24680 and 24690. The biggest common factor number is the GCF number.
So the greatest common factor 24680 and 24690 is 10.

Also check out the Least Common Multiple of 24680 and 24690