What is the Greatest Common Factor of 24696 and 24702?

Greatest common factor (GCF) of 24696 and 24702 is 6.

GCF(24696,24702) = 6

We will now calculate the prime factors of 24696 and 24702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24696 and 24702.

How to find the GCF of 24696 and 24702?

We will first find the prime factorization of 24696 and 24702. After we will calculate the factors of 24696 and 24702 and find the biggest common factor number .

Step-1: Prime Factorization of 24696

Prime factors of 24696 are 2, 3, 7. Prime factorization of 24696 in exponential form is:

24696 = 2³ × 3² × 7³

Step-2: 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-3: Factors of 24696

List of positive integer factors of 24696 that divides 24696 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 343, 392, 441, 504, 588, 686, 882, 1029, 1176, 1372, 1764, 2058, 2744, 3087, 3528, 4116, 6174, 8232, 12348

Step-4: Factors of 24702

List of positive integer factors of 24702 that divides 24696 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24696 and 24702. The biggest common factor number is the GCF number.
So the greatest common factor 24696 and 24702 is 6.

Also check out the Least Common Multiple of 24696 and 24702