What is the Greatest Common Factor of 42210 and 42219?

Greatest common factor (GCF) of 42210 and 42219 is 9.

GCF(42210,42219) = 9

We will now calculate the prime factors of 42210 and 42219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42210 and 42219.

How to find the GCF of 42210 and 42219?

We will first find the prime factorization of 42210 and 42219. After we will calculate the factors of 42210 and 42219 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 42219

Prime factors of 42219 are 3, 4691. Prime factorization of 42219 in exponential form is:

42219 = 3² × 4691¹

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 42219

List of positive integer factors of 42219 that divides 42210 without a remainder.

1, 3, 9, 4691, 14073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42210 and 42219. The biggest common factor number is the GCF number.
So the greatest common factor 42210 and 42219 is 9.

Also check out the Least Common Multiple of 42210 and 42219