What is the Greatest Common Factor of 39083 and 39100?

Greatest common factor (GCF) of 39083 and 39100 is 17.

GCF(39083,39100) = 17

We will now calculate the prime factors of 39083 and 39100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39083 and 39100.

How to find the GCF of 39083 and 39100?

We will first find the prime factorization of 39083 and 39100. After we will calculate the factors of 39083 and 39100 and find the biggest common factor number .

Step-1: Prime Factorization of 39083

Prime factors of 39083 are 11, 17, 19. Prime factorization of 39083 in exponential form is:

39083 = 11² × 17¹ × 19¹

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 39083

List of positive integer factors of 39083 that divides 39083 without a remainder.

1, 11, 17, 19, 121, 187, 209, 323, 2057, 2299, 3553

Step-4: Factors of 39100

List of positive integer factors of 39100 that divides 39083 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 39083 and 39100. The biggest common factor number is the GCF number.
So the greatest common factor 39083 and 39100 is 17.

Also check out the Least Common Multiple of 39083 and 39100