What is the Greatest Common Factor of 24718 and 24730?

Greatest common factor (GCF) of 24718 and 24730 is 2.

GCF(24718,24730) = 2

We will now calculate the prime factors of 24718 and 24730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24718 and 24730.

How to find the GCF of 24718 and 24730?

We will first find the prime factorization of 24718 and 24730. After we will calculate the factors of 24718 and 24730 and find the biggest common factor number .

Step-1: Prime Factorization of 24718

Prime factors of 24718 are 2, 17, 727. Prime factorization of 24718 in exponential form is:

24718 = 2¹ × 17¹ × 727¹

Step-2: Prime Factorization of 24730

Prime factors of 24730 are 2, 5, 2473. Prime factorization of 24730 in exponential form is:

24730 = 2¹ × 5¹ × 2473¹

Step-3: Factors of 24718

List of positive integer factors of 24718 that divides 24718 without a remainder.

1, 2, 17, 34, 727, 1454, 12359

Step-4: Factors of 24730

List of positive integer factors of 24730 that divides 24718 without a remainder.

1, 2, 5, 10, 2473, 4946, 12365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24718 and 24730. The biggest common factor number is the GCF number.
So the greatest common factor 24718 and 24730 is 2.

Also check out the Least Common Multiple of 24718 and 24730