What is the Greatest Common Factor of 42210 and 42225?

Greatest common factor (GCF) of 42210 and 42225 is 15.

GCF(42210,42225) = 15

We will now calculate the prime factors of 42210 and 42225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42210 and 42225.

How to find the GCF of 42210 and 42225?

We will first find the prime factorization of 42210 and 42225. After we will calculate the factors of 42210 and 42225 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 42225

Prime factors of 42225 are 3, 5, 563. Prime factorization of 42225 in exponential form is:

42225 = 3¹ × 5² × 563¹

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 42225

List of positive integer factors of 42225 that divides 42210 without a remainder.

1, 3, 5, 15, 25, 75, 563, 1689, 2815, 8445, 14075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42210 and 42225. The biggest common factor number is the GCF number.
So the greatest common factor 42210 and 42225 is 15.

Also check out the Least Common Multiple of 42210 and 42225