What is the Greatest Common Factor of 42180 and 42200?

Greatest common factor (GCF) of 42180 and 42200 is 20.

GCF(42180,42200) = 20

We will now calculate the prime factors of 42180 and 42200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42180 and 42200.

How to find the GCF of 42180 and 42200?

We will first find the prime factorization of 42180 and 42200. After we will calculate the factors of 42180 and 42200 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 42200

Prime factors of 42200 are 2, 5, 211. Prime factorization of 42200 in exponential form is:

42200 = 2³ × 5² × 211¹

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 42200

List of positive integer factors of 42200 that divides 42180 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 211, 422, 844, 1055, 1688, 2110, 4220, 5275, 8440, 10550, 21100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42180 and 42200. The biggest common factor number is the GCF number.
So the greatest common factor 42180 and 42200 is 20.

Also check out the Least Common Multiple of 42180 and 42200