What is the Greatest Common Factor of 39180 and 39184?

Greatest common factor (GCF) of 39180 and 39184 is 4.

GCF(39180,39184) = 4

We will now calculate the prime factors of 39180 and 39184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39180 and 39184.

How to find the GCF of 39180 and 39184?

We will first find the prime factorization of 39180 and 39184. After we will calculate the factors of 39180 and 39184 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 39184

Prime factors of 39184 are 2, 31, 79. Prime factorization of 39184 in exponential form is:

39184 = 2⁴ × 31¹ × 79¹

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 39184

List of positive integer factors of 39184 that divides 39180 without a remainder.

1, 2, 4, 8, 16, 31, 62, 79, 124, 158, 248, 316, 496, 632, 1264, 2449, 4898, 9796, 19592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39180 and 39184. The biggest common factor number is the GCF number.
So the greatest common factor 39180 and 39184 is 4.

Also check out the Least Common Multiple of 39180 and 39184