What is the Greatest Common Factor of 23638 and 23652?

Greatest common factor (GCF) of 23638 and 23652 is 2.

GCF(23638,23652) = 2

We will now calculate the prime factors of 23638 and 23652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23638 and 23652.

How to find the GCF of 23638 and 23652?

We will first find the prime factorization of 23638 and 23652. After we will calculate the factors of 23638 and 23652 and find the biggest common factor number .

Step-1: Prime Factorization of 23638

Prime factors of 23638 are 2, 53, 223. Prime factorization of 23638 in exponential form is:

23638 = 2¹ × 53¹ × 223¹

Step-2: Prime Factorization of 23652

Prime factors of 23652 are 2, 3, 73. Prime factorization of 23652 in exponential form is:

23652 = 2² × 3⁴ × 73¹

Step-3: Factors of 23638

List of positive integer factors of 23638 that divides 23638 without a remainder.

1, 2, 53, 106, 223, 446, 11819

Step-4: Factors of 23652

List of positive integer factors of 23652 that divides 23638 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 81, 108, 146, 162, 219, 292, 324, 438, 657, 876, 1314, 1971, 2628, 3942, 5913, 7884, 11826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23638 and 23652. The biggest common factor number is the GCF number.
So the greatest common factor 23638 and 23652 is 2.

Also check out the Least Common Multiple of 23638 and 23652