What is the Greatest Common Factor of 39100 and 39110?

Greatest common factor (GCF) of 39100 and 39110 is 10.

GCF(39100,39110) = 10

We will now calculate the prime factors of 39100 and 39110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39100 and 39110.

How to find the GCF of 39100 and 39110?

We will first find the prime factorization of 39100 and 39110. After we will calculate the factors of 39100 and 39110 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 39110

Prime factors of 39110 are 2, 5, 3911. Prime factorization of 39110 in exponential form is:

39110 = 2¹ × 5¹ × 3911¹

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 39110

List of positive integer factors of 39110 that divides 39100 without a remainder.

1, 2, 5, 10, 3911, 7822, 19555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39100 and 39110. The biggest common factor number is the GCF number.
So the greatest common factor 39100 and 39110 is 10.

Also check out the Least Common Multiple of 39100 and 39110