What is the Greatest Common Factor of 42194 and 42210?

Greatest common factor (GCF) of 42194 and 42210 is 2.

GCF(42194,42210) = 2

We will now calculate the prime factors of 42194 and 42210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42194 and 42210.

How to find the GCF of 42194 and 42210?

We will first find the prime factorization of 42194 and 42210. After we will calculate the factors of 42194 and 42210 and find the biggest common factor number .

Step-1: Prime Factorization of 42194

Prime factors of 42194 are 2, 17, 73. Prime factorization of 42194 in exponential form is:

42194 = 2¹ × 17² × 73¹

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 42194

List of positive integer factors of 42194 that divides 42194 without a remainder.

1, 2, 17, 34, 73, 146, 289, 578, 1241, 2482, 21097

Step-4: Factors of 42210

List of positive integer factors of 42210 that divides 42194 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 42194 and 42210. The biggest common factor number is the GCF number.
So the greatest common factor 42194 and 42210 is 2.

Also check out the Least Common Multiple of 42194 and 42210