What is the Greatest Common Factor of 39100 and 39107?

Greatest common factor (GCF) of 39100 and 39107 is 1.

GCF(39100,39107) = 1

We will now calculate the prime factors of 39100 and 39107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39100 and 39107.

How to find the GCF of 39100 and 39107?

We will first find the prime factorization of 39100 and 39107. After we will calculate the factors of 39100 and 39107 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39107

Prime factors of 39107 are 39107. Prime factorization of 39107 in exponential form is:

39107 = 39107¹

Step-3: Factors of 39100

List of positive integer factors of 39100 that divides 39100 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

Step-4: Factors of 39107

List of positive integer factors of 39107 that divides 39100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39100 and 39107. The biggest common factor number is the GCF number.
So the greatest common factor 39100 and 39107 is 1.

Also check out the Least Common Multiple of 39100 and 39107