What is the Greatest Common Factor of 39633 and 39639?

Greatest common factor (GCF) of 39633 and 39639 is 3.

GCF(39633,39639) = 3

We will now calculate the prime factors of 39633 and 39639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39633 and 39639.

How to find the GCF of 39633 and 39639?

We will first find the prime factorization of 39633 and 39639. After we will calculate the factors of 39633 and 39639 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 39639

Prime factors of 39639 are 3, 73, 181. Prime factorization of 39639 in exponential form is:

39639 = 3¹ × 73¹ × 181¹

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 39639

List of positive integer factors of 39639 that divides 39633 without a remainder.

1, 3, 73, 181, 219, 543, 13213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39633 and 39639. The biggest common factor number is the GCF number.
So the greatest common factor 39633 and 39639 is 3.

Also check out the Least Common Multiple of 39633 and 39639