What is the Greatest Common Factor of 39625 and 39644?

Greatest common factor (GCF) of 39625 and 39644 is 1.

GCF(39625,39644) = 1

We will now calculate the prime factors of 39625 and 39644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39625 and 39644.

How to find the GCF of 39625 and 39644?

We will first find the prime factorization of 39625 and 39644. After we will calculate the factors of 39625 and 39644 and find the biggest common factor number .

Step-1: Prime Factorization of 39625

Prime factors of 39625 are 5, 317. Prime factorization of 39625 in exponential form is:

39625 = 5³ × 317¹

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 39625

List of positive integer factors of 39625 that divides 39625 without a remainder.

1, 5, 25, 125, 317, 1585, 7925

Step-4: Factors of 39644

List of positive integer factors of 39644 that divides 39625 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 39625 and 39644. The biggest common factor number is the GCF number.
So the greatest common factor 39625 and 39644 is 1.

Also check out the Least Common Multiple of 39625 and 39644