What is the Greatest Common Factor of 39575 and 39585?

Greatest common factor (GCF) of 39575 and 39585 is 5.

GCF(39575,39585) = 5

We will now calculate the prime factors of 39575 and 39585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39575 and 39585.

How to find the GCF of 39575 and 39585?

We will first find the prime factorization of 39575 and 39585. After we will calculate the factors of 39575 and 39585 and find the biggest common factor number .

Step-1: Prime Factorization of 39575

Prime factors of 39575 are 5, 1583. Prime factorization of 39575 in exponential form is:

39575 = 5² × 1583¹

Step-2: Prime Factorization of 39585

Prime factors of 39585 are 3, 5, 7, 13, 29. Prime factorization of 39585 in exponential form is:

39585 = 3¹ × 5¹ × 7¹ × 13¹ × 29¹

Step-3: Factors of 39575

List of positive integer factors of 39575 that divides 39575 without a remainder.

1, 5, 25, 1583, 7915

Step-4: Factors of 39585

List of positive integer factors of 39585 that divides 39575 without a remainder.

1, 3, 5, 7, 13, 15, 21, 29, 35, 39, 65, 87, 91, 105, 145, 195, 203, 273, 377, 435, 455, 609, 1015, 1131, 1365, 1885, 2639, 3045, 5655, 7917, 13195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39575 and 39585. The biggest common factor number is the GCF number.
So the greatest common factor 39575 and 39585 is 5.

Also check out the Least Common Multiple of 39575 and 39585