What is the Greatest Common Factor of 24730 and 24739?

Greatest common factor (GCF) of 24730 and 24739 is 1.

GCF(24730,24739) = 1

We will now calculate the prime factors of 24730 and 24739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24730 and 24739.

How to find the GCF of 24730 and 24739?

We will first find the prime factorization of 24730 and 24739. After we will calculate the factors of 24730 and 24739 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24739

Prime factors of 24739 are 11, 13, 173. Prime factorization of 24739 in exponential form is:

24739 = 11¹ × 13¹ × 173¹

Step-3: Factors of 24730

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

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

Step-4: Factors of 24739

List of positive integer factors of 24739 that divides 24730 without a remainder.

1, 11, 13, 143, 173, 1903, 2249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24730 and 24739. The biggest common factor number is the GCF number.
So the greatest common factor 24730 and 24739 is 1.

Also check out the Least Common Multiple of 24730 and 24739