What is the Greatest Common Factor of 24702 and 24717?

Greatest common factor (GCF) of 24702 and 24717 is 3.

GCF(24702,24717) = 3

We will now calculate the prime factors of 24702 and 24717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24702 and 24717.

How to find the GCF of 24702 and 24717?

We will first find the prime factorization of 24702 and 24717. After we will calculate the factors of 24702 and 24717 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 24717

Prime factors of 24717 are 3, 7, 11, 107. Prime factorization of 24717 in exponential form is:

24717 = 3¹ × 7¹ × 11¹ × 107¹

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 24717

List of positive integer factors of 24717 that divides 24702 without a remainder.

1, 3, 7, 11, 21, 33, 77, 107, 231, 321, 749, 1177, 2247, 3531, 8239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24702 and 24717. The biggest common factor number is the GCF number.
So the greatest common factor 24702 and 24717 is 3.

Also check out the Least Common Multiple of 24702 and 24717