What is the Greatest Common Factor of 39180 and 39194?

Greatest common factor (GCF) of 39180 and 39194 is 2.

GCF(39180,39194) = 2

We will now calculate the prime factors of 39180 and 39194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39180 and 39194.

How to find the GCF of 39180 and 39194?

We will first find the prime factorization of 39180 and 39194. After we will calculate the factors of 39180 and 39194 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39194

Prime factors of 39194 are 2, 19597. Prime factorization of 39194 in exponential form is:

39194 = 2¹ × 19597¹

Step-3: Factors of 39180

List of positive integer factors of 39180 that divides 39180 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

Step-4: Factors of 39194

List of positive integer factors of 39194 that divides 39180 without a remainder.

1, 2, 19597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39180 and 39194. The biggest common factor number is the GCF number.
So the greatest common factor 39180 and 39194 is 2.

Also check out the Least Common Multiple of 39180 and 39194