What is the Greatest Common Factor of 39170 and 39180?

Greatest common factor (GCF) of 39170 and 39180 is 10.

GCF(39170,39180) = 10

We will now calculate the prime factors of 39170 and 39180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39170 and 39180.

How to find the GCF of 39170 and 39180?

We will first find the prime factorization of 39170 and 39180. After we will calculate the factors of 39170 and 39180 and find the biggest common factor number .

Step-1: Prime Factorization of 39170

Prime factors of 39170 are 2, 5, 3917. Prime factorization of 39170 in exponential form is:

39170 = 2¹ × 5¹ × 3917¹

Step-2: Prime Factorization of 39180

Prime factors of 39180 are 2, 3, 5, 653. Prime factorization of 39180 in exponential form is:

39180 = 2² × 3¹ × 5¹ × 653¹

Step-3: Factors of 39170

List of positive integer factors of 39170 that divides 39170 without a remainder.

1, 2, 5, 10, 3917, 7834, 19585

Step-4: Factors of 39180

List of positive integer factors of 39180 that divides 39170 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 653, 1306, 1959, 2612, 3265, 3918, 6530, 7836, 9795, 13060, 19590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39170 and 39180. The biggest common factor number is the GCF number.
So the greatest common factor 39170 and 39180 is 10.

Also check out the Least Common Multiple of 39170 and 39180