What is the Greatest Common Factor of 66030 and 66042?

Greatest common factor (GCF) of 66030 and 66042 is 6.

GCF(66030,66042) = 6

We will now calculate the prime factors of 66030 and 66042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66030 and 66042.

How to find the GCF of 66030 and 66042?

We will first find the prime factorization of 66030 and 66042. After we will calculate the factors of 66030 and 66042 and find the biggest common factor number .

Step-1: Prime Factorization of 66030

Prime factors of 66030 are 2, 3, 5, 31, 71. Prime factorization of 66030 in exponential form is:

66030 = 2¹ × 3¹ × 5¹ × 31¹ × 71¹

Step-2: Prime Factorization of 66042

Prime factors of 66042 are 2, 3, 1223. Prime factorization of 66042 in exponential form is:

66042 = 2¹ × 3³ × 1223¹

Step-3: Factors of 66030

List of positive integer factors of 66030 that divides 66030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 71, 93, 142, 155, 186, 213, 310, 355, 426, 465, 710, 930, 1065, 2130, 2201, 4402, 6603, 11005, 13206, 22010, 33015

Step-4: Factors of 66042

List of positive integer factors of 66042 that divides 66030 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1223, 2446, 3669, 7338, 11007, 22014, 33021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66030 and 66042. The biggest common factor number is the GCF number.
So the greatest common factor 66030 and 66042 is 6.

Also check out the Least Common Multiple of 66030 and 66042