What is the Greatest Common Factor of 42180 and 42197?

Greatest common factor (GCF) of 42180 and 42197 is 1.

GCF(42180,42197) = 1

We will now calculate the prime factors of 42180 and 42197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42180 and 42197.

How to find the GCF of 42180 and 42197?

We will first find the prime factorization of 42180 and 42197. After we will calculate the factors of 42180 and 42197 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 42197

Prime factors of 42197 are 42197. Prime factorization of 42197 in exponential form is:

42197 = 42197¹

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 42197

List of positive integer factors of 42197 that divides 42180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42180 and 42197. The biggest common factor number is the GCF number.
So the greatest common factor 42180 and 42197 is 1.

Also check out the Least Common Multiple of 42180 and 42197