What is the Greatest Common Factor of 39172 and 39180?

Greatest common factor (GCF) of 39172 and 39180 is 4.

GCF(39172,39180) = 4

We will now calculate the prime factors of 39172 and 39180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39172 and 39180.

How to find the GCF of 39172 and 39180?

We will first find the prime factorization of 39172 and 39180. After we will calculate the factors of 39172 and 39180 and find the biggest common factor number .

Step-1: Prime Factorization of 39172

Prime factors of 39172 are 2, 7, 1399. Prime factorization of 39172 in exponential form is:

39172 = 2² × 7¹ × 1399¹

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 39172

List of positive integer factors of 39172 that divides 39172 without a remainder.

1, 2, 4, 7, 14, 28, 1399, 2798, 5596, 9793, 19586

Step-4: Factors of 39180

List of positive integer factors of 39180 that divides 39172 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 39172 and 39180. The biggest common factor number is the GCF number.
So the greatest common factor 39172 and 39180 is 4.

Also check out the Least Common Multiple of 39172 and 39180