What is the Greatest Common Factor of 24560 and 24574?

Greatest common factor (GCF) of 24560 and 24574 is 2.

GCF(24560,24574) = 2

We will now calculate the prime factors of 24560 and 24574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24560 and 24574.

How to find the GCF of 24560 and 24574?

We will first find the prime factorization of 24560 and 24574. After we will calculate the factors of 24560 and 24574 and find the biggest common factor number .

Step-1: Prime Factorization of 24560

Prime factors of 24560 are 2, 5, 307. Prime factorization of 24560 in exponential form is:

24560 = 2⁴ × 5¹ × 307¹

Step-2: Prime Factorization of 24574

Prime factors of 24574 are 2, 11, 1117. Prime factorization of 24574 in exponential form is:

24574 = 2¹ × 11¹ × 1117¹

Step-3: Factors of 24560

List of positive integer factors of 24560 that divides 24560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 307, 614, 1228, 1535, 2456, 3070, 4912, 6140, 12280

Step-4: Factors of 24574

List of positive integer factors of 24574 that divides 24560 without a remainder.

1, 2, 11, 22, 1117, 2234, 12287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24560 and 24574. The biggest common factor number is the GCF number.
So the greatest common factor 24560 and 24574 is 2.

Also check out the Least Common Multiple of 24560 and 24574