What is the Greatest Common Factor of 39100 and 39112?

Greatest common factor (GCF) of 39100 and 39112 is 4.

GCF(39100,39112) = 4

We will now calculate the prime factors of 39100 and 39112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39100 and 39112.

How to find the GCF of 39100 and 39112?

We will first find the prime factorization of 39100 and 39112. After we will calculate the factors of 39100 and 39112 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 39112

Prime factors of 39112 are 2, 4889. Prime factorization of 39112 in exponential form is:

39112 = 2³ × 4889¹

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 39112

List of positive integer factors of 39112 that divides 39100 without a remainder.

1, 2, 4, 8, 4889, 9778, 19556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39100 and 39112. The biggest common factor number is the GCF number.
So the greatest common factor 39100 and 39112 is 4.

Also check out the Least Common Multiple of 39100 and 39112