What is the Greatest Common Factor of 42210 and 42217?

Greatest common factor (GCF) of 42210 and 42217 is 7.

GCF(42210,42217) = 7

We will now calculate the prime factors of 42210 and 42217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42210 and 42217.

How to find the GCF of 42210 and 42217?

We will first find the prime factorization of 42210 and 42217. After we will calculate the factors of 42210 and 42217 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 42217

Prime factors of 42217 are 7, 37, 163. Prime factorization of 42217 in exponential form is:

42217 = 7¹ × 37¹ × 163¹

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 42217

List of positive integer factors of 42217 that divides 42210 without a remainder.

1, 7, 37, 163, 259, 1141, 6031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42210 and 42217. The biggest common factor number is the GCF number.
So the greatest common factor 42210 and 42217 is 7.

Also check out the Least Common Multiple of 42210 and 42217