What is the Greatest Common Factor of 39085 and 39100?

Greatest common factor (GCF) of 39085 and 39100 is 5.

GCF(39085,39100) = 5

We will now calculate the prime factors of 39085 and 39100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39085 and 39100.

How to find the GCF of 39085 and 39100?

We will first find the prime factorization of 39085 and 39100. After we will calculate the factors of 39085 and 39100 and find the biggest common factor number .

Step-1: Prime Factorization of 39085

Prime factors of 39085 are 5, 7817. Prime factorization of 39085 in exponential form is:

39085 = 5¹ × 7817¹

Step-2: Prime Factorization of 39100

Prime factors of 39100 are 2, 5, 17, 23. Prime factorization of 39100 in exponential form is:

39100 = 2² × 5² × 17¹ × 23¹

Step-3: Factors of 39085

List of positive integer factors of 39085 that divides 39085 without a remainder.

1, 5, 7817

Step-4: Factors of 39100

List of positive integer factors of 39100 that divides 39085 without a remainder.

1, 2, 4, 5, 10, 17, 20, 23, 25, 34, 46, 50, 68, 85, 92, 100, 115, 170, 230, 340, 391, 425, 460, 575, 782, 850, 1150, 1564, 1700, 1955, 2300, 3910, 7820, 9775, 19550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39085 and 39100. The biggest common factor number is the GCF number.
So the greatest common factor 39085 and 39100 is 5.

Also check out the Least Common Multiple of 39085 and 39100