What is the Greatest Common Factor of 42180 and 42184?

Greatest common factor (GCF) of 42180 and 42184 is 4.

GCF(42180,42184) = 4

We will now calculate the prime factors of 42180 and 42184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42180 and 42184.

How to find the GCF of 42180 and 42184?

We will first find the prime factorization of 42180 and 42184. After we will calculate the factors of 42180 and 42184 and find the biggest common factor number .

Step-1: Prime Factorization of 42180

Prime factors of 42180 are 2, 3, 5, 19, 37. Prime factorization of 42180 in exponential form is:

42180 = 2² × 3¹ × 5¹ × 19¹ × 37¹

Step-2: Prime Factorization of 42184

Prime factors of 42184 are 2, 5273. Prime factorization of 42184 in exponential form is:

42184 = 2³ × 5273¹

Step-3: Factors of 42180

List of positive integer factors of 42180 that divides 42180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 37, 38, 57, 60, 74, 76, 95, 111, 114, 148, 185, 190, 222, 228, 285, 370, 380, 444, 555, 570, 703, 740, 1110, 1140, 1406, 2109, 2220, 2812, 3515, 4218, 7030, 8436, 10545, 14060, 21090

Step-4: Factors of 42184

List of positive integer factors of 42184 that divides 42180 without a remainder.

1, 2, 4, 8, 5273, 10546, 21092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42180 and 42184. The biggest common factor number is the GCF number.
So the greatest common factor 42180 and 42184 is 4.

Also check out the Least Common Multiple of 42180 and 42184