What is the Greatest Common Factor of 39633 and 39644?

Greatest common factor (GCF) of 39633 and 39644 is 11.

GCF(39633,39644) = 11

We will now calculate the prime factors of 39633 and 39644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39633 and 39644.

How to find the GCF of 39633 and 39644?

We will first find the prime factorization of 39633 and 39644. After we will calculate the factors of 39633 and 39644 and find the biggest common factor number .

Step-1: Prime Factorization of 39633

Prime factors of 39633 are 3, 11, 1201. Prime factorization of 39633 in exponential form is:

39633 = 3¹ × 11¹ × 1201¹

Step-2: Prime Factorization of 39644

Prime factors of 39644 are 2, 11, 17, 53. Prime factorization of 39644 in exponential form is:

39644 = 2² × 11¹ × 17¹ × 53¹

Step-3: Factors of 39633

List of positive integer factors of 39633 that divides 39633 without a remainder.

1, 3, 11, 33, 1201, 3603, 13211

Step-4: Factors of 39644

List of positive integer factors of 39644 that divides 39633 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 53, 68, 106, 187, 212, 374, 583, 748, 901, 1166, 1802, 2332, 3604, 9911, 19822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39633 and 39644. The biggest common factor number is the GCF number.
So the greatest common factor 39633 and 39644 is 11.

Also check out the Least Common Multiple of 39633 and 39644