What is the Greatest Common Factor of 39100 and 39108?

Greatest common factor (GCF) of 39100 and 39108 is 4.

GCF(39100,39108) = 4

We will now calculate the prime factors of 39100 and 39108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39100 and 39108.

How to find the GCF of 39100 and 39108?

We will first find the prime factorization of 39100 and 39108. After we will calculate the factors of 39100 and 39108 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 39108

Prime factors of 39108 are 2, 3, 3259. Prime factorization of 39108 in exponential form is:

39108 = 2² × 3¹ × 3259¹

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 39108

List of positive integer factors of 39108 that divides 39100 without a remainder.

1, 2, 3, 4, 6, 12, 3259, 6518, 9777, 13036, 19554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39100 and 39108. The biggest common factor number is the GCF number.
So the greatest common factor 39100 and 39108 is 4.

Also check out the Least Common Multiple of 39100 and 39108