What is the Greatest Common Factor of 42210 and 42218?

Greatest common factor (GCF) of 42210 and 42218 is 2.

GCF(42210,42218) = 2

We will now calculate the prime factors of 42210 and 42218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42210 and 42218.

How to find the GCF of 42210 and 42218?

We will first find the prime factorization of 42210 and 42218. After we will calculate the factors of 42210 and 42218 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42218

Prime factors of 42218 are 2, 11, 19, 101. Prime factorization of 42218 in exponential form is:

42218 = 2¹ × 11¹ × 19¹ × 101¹

Step-3: Factors of 42210

List of positive integer factors of 42210 that divides 42210 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

Step-4: Factors of 42218

List of positive integer factors of 42218 that divides 42210 without a remainder.

1, 2, 11, 19, 22, 38, 101, 202, 209, 418, 1111, 1919, 2222, 3838, 21109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42210 and 42218. The biggest common factor number is the GCF number.
So the greatest common factor 42210 and 42218 is 2.

Also check out the Least Common Multiple of 42210 and 42218