What is the Greatest Common Factor of 39631 and 39644?

Greatest common factor (GCF) of 39631 and 39644 is 1.

GCF(39631,39644) = 1

We will now calculate the prime factors of 39631 and 39644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39631 and 39644.

How to find the GCF of 39631 and 39644?

We will first find the prime factorization of 39631 and 39644. After we will calculate the factors of 39631 and 39644 and find the biggest common factor number .

Step-1: Prime Factorization of 39631

Prime factors of 39631 are 39631. Prime factorization of 39631 in exponential form is:

39631 = 39631¹

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 39631

List of positive integer factors of 39631 that divides 39631 without a remainder.

Step-4: Factors of 39644

List of positive integer factors of 39644 that divides 39631 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 39631 and 39644. The biggest common factor number is the GCF number.
So the greatest common factor 39631 and 39644 is 1.

Also check out the Least Common Multiple of 39631 and 39644