What is the Greatest Common Factor of 24702 and 24711?

Greatest common factor (GCF) of 24702 and 24711 is 3.

GCF(24702,24711) = 3

We will now calculate the prime factors of 24702 and 24711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24702 and 24711.

How to find the GCF of 24702 and 24711?

We will first find the prime factorization of 24702 and 24711. After we will calculate the factors of 24702 and 24711 and find the biggest common factor number .

Step-1: Prime Factorization of 24702

Prime factors of 24702 are 2, 3, 23, 179. Prime factorization of 24702 in exponential form is:

24702 = 2¹ × 3¹ × 23¹ × 179¹

Step-2: Prime Factorization of 24711

Prime factors of 24711 are 3, 8237. Prime factorization of 24711 in exponential form is:

24711 = 3¹ × 8237¹

Step-3: Factors of 24702

List of positive integer factors of 24702 that divides 24702 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 179, 358, 537, 1074, 4117, 8234, 12351

Step-4: Factors of 24711

List of positive integer factors of 24711 that divides 24702 without a remainder.

1, 3, 8237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24702 and 24711. The biggest common factor number is the GCF number.
So the greatest common factor 24702 and 24711 is 3.

Also check out the Least Common Multiple of 24702 and 24711