What is the Greatest Common Factor of 42174 and 42185?

Greatest common factor (GCF) of 42174 and 42185 is 11.

GCF(42174,42185) = 11

We will now calculate the prime factors of 42174 and 42185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42174 and 42185.

How to find the GCF of 42174 and 42185?

We will first find the prime factorization of 42174 and 42185. After we will calculate the factors of 42174 and 42185 and find the biggest common factor number .

Step-1: Prime Factorization of 42174

Prime factors of 42174 are 2, 3, 11, 71. Prime factorization of 42174 in exponential form is:

42174 = 2¹ × 3³ × 11¹ × 71¹

Step-2: Prime Factorization of 42185

Prime factors of 42185 are 5, 11, 13, 59. Prime factorization of 42185 in exponential form is:

42185 = 5¹ × 11¹ × 13¹ × 59¹

Step-3: Factors of 42174

List of positive integer factors of 42174 that divides 42174 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 71, 99, 142, 198, 213, 297, 426, 594, 639, 781, 1278, 1562, 1917, 2343, 3834, 4686, 7029, 14058, 21087

Step-4: Factors of 42185

List of positive integer factors of 42185 that divides 42174 without a remainder.

1, 5, 11, 13, 55, 59, 65, 143, 295, 649, 715, 767, 3245, 3835, 8437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42174 and 42185. The biggest common factor number is the GCF number.
So the greatest common factor 42174 and 42185 is 11.

Also check out the Least Common Multiple of 42174 and 42185