What is the Greatest Common Factor of 42195 and 42210?

Greatest common factor (GCF) of 42195 and 42210 is 15.

GCF(42195,42210) = 15

We will now calculate the prime factors of 42195 and 42210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42195 and 42210.

How to find the GCF of 42195 and 42210?

We will first find the prime factorization of 42195 and 42210. After we will calculate the factors of 42195 and 42210 and find the biggest common factor number .

Step-1: Prime Factorization of 42195

Prime factors of 42195 are 3, 5, 29, 97. Prime factorization of 42195 in exponential form is:

42195 = 3¹ × 5¹ × 29¹ × 97¹

Step-2: Prime Factorization of 42210

Prime factors of 42210 are 2, 3, 5, 7, 67. Prime factorization of 42210 in exponential form is:

42210 = 2¹ × 3² × 5¹ × 7¹ × 67¹

Step-3: Factors of 42195

List of positive integer factors of 42195 that divides 42195 without a remainder.

1, 3, 5, 15, 29, 87, 97, 145, 291, 435, 485, 1455, 2813, 8439, 14065

Step-4: Factors of 42210

List of positive integer factors of 42210 that divides 42195 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 67, 70, 90, 105, 126, 134, 201, 210, 315, 335, 402, 469, 603, 630, 670, 938, 1005, 1206, 1407, 2010, 2345, 2814, 3015, 4221, 4690, 6030, 7035, 8442, 14070, 21105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42195 and 42210. The biggest common factor number is the GCF number.
So the greatest common factor 42195 and 42210 is 15.

Also check out the Least Common Multiple of 42195 and 42210